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Algebraic and differential topology of robust stability / / Edmond A. Jonckheere ; with 79 pictures, computer generated by Chih-Yung Cheng, Chung-Kuang Chu, and Murilo G. Coutinho
| Algebraic and differential topology of robust stability / / Edmond A. Jonckheere ; with 79 pictures, computer generated by Chih-Yung Cheng, Chung-Kuang Chu, and Murilo G. Coutinho |
| Autore | Jonckheere Edmond A. <1954-> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | New York, : Oxford University Press, 1997 |
| Descrizione fisica | 1 online resource (625 p.) |
| Disciplina | 629.8/312/015142 |
| Collana | Oxford scholarship online |
| Soggetto topico |
Control theory
Algebraic topology Differential topology |
| ISBN |
0-19-773204-6
1-280-52771-4 9786610527717 0-19-535768-X 1-4294-0123-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents; List of Figures; List of Symbols; 1 Prologue; I: SIMPLICIAL APPROXIMATION AND ALGORITHMS; II: HOMOLOGY OF ROBUST STABILITY; III: HOMOTOPY OF ROBUST STABILITY; IV: DIFFERENTIAL TOPOLOGY OF ROBUST STABILITY; V: ALGEBRAIC GEOMETRY OF CROSSOVER; VI: EPILOGUE; VII: APPENDICES; Bibliography; Index |
| Record Nr. | UNINA-9910816622403321 |
Jonckheere Edmond A. <1954->
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| New York, : Oxford University Press, 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebraic and geometric topology : proceedings of a conference held at Rutgers University, New Brunswick, USA, July 6-13, 1983 / / Andrew Ranicki, Norman Levitt, Frank Quinn
| Algebraic and geometric topology : proceedings of a conference held at Rutgers University, New Brunswick, USA, July 6-13, 1983 / / Andrew Ranicki, Norman Levitt, Frank Quinn |
| Autore | Ranicki Andrew <1948-> |
| Edizione | [1st ed. 1985.] |
| Pubbl/distr/stampa | Berlin : , : Springer, , [1985] |
| Descrizione fisica | 1 online resource (VI, 426 p.) |
| Disciplina | 514 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Topology
Algebraic topology |
| ISBN | 3-540-39413-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Semifree finite groups actions on compact manifolds -- Torsion in L-groups -- Higher diagonal approximations and skeletons of K(?, l)'s -- Lectures on groups of homotopy spheres -- Some remarks on local formulae for p1 -- Evaluating the Swan finiteness obstruction for periodic groups -- The cappell-shaneson example -- A nonconnective delooping of algebraic K-theory -- Geometric algebra -- The algebraic theory of torsion I. Foundations -- Equivariant moore spaces -- Triviality of the involution on SK1 for periodic groups -- The involution in the algebraic K-theory of spaces -- Algebraic K-theory of spaces -- Oliver's formula and Minkowski's theorem -- Some nilpotent complexes. |
| Record Nr. | UNISA-996466622603316 |
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Ranicki Andrew <1948->
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| Berlin : , : Springer, , [1985] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Algebraic and geometric topology [e-book] : proceedings of a conference held at Rutgers university, New Brunswick, USA, July 6-13, 1983 / edited by Andrew Ranicki, Norman Levitt, Frank Quinn
| Algebraic and geometric topology [e-book] : proceedings of a conference held at Rutgers university, New Brunswick, USA, July 6-13, 1983 / edited by Andrew Ranicki, Norman Levitt, Frank Quinn |
| Pubbl/distr/stampa | Berlin : Springer, 1985 |
| Descrizione fisica | 1 online resource (iv, 423 p.) |
| Disciplina | 514.2 |
| Altri autori (Persone) |
Ranicki, Andrew
Levitt, Norman Quinn, Frank |
| Collana | Lecture Notes in Mathematics, 0075-8434 ; 1126 |
| Soggetto topico |
Mathematics
Algebraic topology Cell aggregation - Mathematics |
| ISBN | 9783540394136 |
| Classificazione |
AMS 55-02
AMS 57-02 |
| Formato | Risorse elettroniche  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002209239707536 |
| Berlin : Springer, 1985 | ||
| Risorse elettroniche | ||
| Lo trovi qui: Univ. del Salento | ||
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Algebraic and geometric topology : proceedings of a symposium held at Santa Barbara in honor of Raymond L. Wilder, July 25-29, 1977 / / edited by Kenneth C. Millett
| Algebraic and geometric topology : proceedings of a symposium held at Santa Barbara in honor of Raymond L. Wilder, July 25-29, 1977 / / edited by Kenneth C. Millett |
| Edizione | [1st ed. 1978.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1978] |
| Descrizione fisica | 1 online resource (XIV, 242 p.) |
| Disciplina | 514.2 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Algebraic topology
Mathematics |
| ISBN | 3-540-35758-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Wilder on connectedness -- R. L. Wilder’s work on generalized manifolds — An appreciation -- R.L. Moore’s first doctoral student at Texas -- A homological characterization of inner automorphisms of compact lie groups -- Realizing homology classes by PL manifolds -- Topology and measure -- HP?, Genuine and counterfeit -- On a space of group actions -- Remarks on the solution of first degree equations in groups -- Flat manifolds and the cohomology of groups -- Two characteristic classes and smith theory -- The degree of multiple-valued maps of spheres -- Stratified general position -- Clifford bundles, spinor bundles and dirac operators -- Seifert manifolds, plumbing, ?-invariant and orientation reversing maps -- G surgery I — A survey -- Smooth CE maps and smooth homeomorphisms. |
| Record Nr. | UNISA-996466528703316 |
| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1978] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Algebraic and geometrical methods in topology : conference on topological methods in Algebraic topology SUNY Binghamton, October 3-7, 1973 / / edited by L. F. McAuley
| Algebraic and geometrical methods in topology : conference on topological methods in Algebraic topology SUNY Binghamton, October 3-7, 1973 / / edited by L. F. McAuley |
| Edizione | [1st ed. 1974.] |
| Pubbl/distr/stampa | Berlin, Germany : , : Springer, , [1974] |
| Descrizione fisica | 1 online resource (XIV, 286 p.) |
| Disciplina | 514.2 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico | Algebraic topology |
| ISBN | 3-540-37300-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Parallel transport and classification of fibrations -- Localization of nilpotent spaces -- Mod p decompositions of finite H - Spaces -- Mod p Decompositions of Mod p H - Spaces -- Etale homotopy theory and shape -- Homotopy associative categories -- Characteristic classes and K-theory -- The structure of maps from manifolds to spheres -- A survey of diffeomorphism groups -- Semifree actions on homotopy spheres -- Cell-like mappings -- On integral currents and the dold-thom construction. |
| Record Nr. | UNISA-996466575403316 |
| Berlin, Germany : , : Springer, , [1974] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Algebraic and topological dynamics : Algebraic and Topological Dynamics, May 1-July 31, 2004, Max-Planck-Institut für Mathematik, Bonn, Germany / / Sergiy Kolyada, Yuri Manin, Thomas Ward, editors
| Algebraic and topological dynamics : Algebraic and Topological Dynamics, May 1-July 31, 2004, Max-Planck-Institut für Mathematik, Bonn, Germany / / Sergiy Kolyada, Yuri Manin, Thomas Ward, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (378 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Algebraic topology
Topological dynamics Topological algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7975-8
0-8218-3751-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""From the transfer operator for geodesic flows on modular surfaces to the Hecke operators on period functions of Î?0(n)""""Hausdorff dimension for Martin metrics""; ""Twistwise flow equivalence and beyondâ€? with an appendix on Almost flow equivalence""; ""Dynamical zeta functions and symplectic Floer homology""; ""1. Introduction""; ""2. Symplectic Floer homology""; ""3. Nielsen numbers and Floer homology""; ""4. Symplectic zeta functions and asymptotic invariant""; ""5. Concluding remarks and conjectures""; ""References""; ""Periodic geodesics on generic translation surfaces""
""Group action, quasi-invariant measures and quasiregular representations of the infinite-dimensional nilpotent group""""Friendly measures, homogeneous flows and singular vectors""; ""Orbit counting with an isometric direction""; ""Spaces of elliptic differentials""; ""1. Introduction""; ""2. Results and applications""; ""3. Modular fibers in genus 2""; ""References""; ""On the structure of beta shifts""; ""Interactions between dynamics, arithmetics and combinatorics: The good, the bad, and the ugly"" |
| Record Nr. | UNINA-9910480119703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebraic and topological dynamics : Algebraic and Topological Dynamics, May 1-July 31, 2004, Max-Planck-Institut für Mathematik, Bonn, Germany / / Sergiy Kolyada, Yuri Manin, Thomas Ward, editors
| Algebraic and topological dynamics : Algebraic and Topological Dynamics, May 1-July 31, 2004, Max-Planck-Institut für Mathematik, Bonn, Germany / / Sergiy Kolyada, Yuri Manin, Thomas Ward, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (378 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Algebraic topology
Topological dynamics Topological algebras |
| ISBN |
0-8218-7975-8
0-8218-3751-6 |
| Classificazione | 31.61 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""From the transfer operator for geodesic flows on modular surfaces to the Hecke operators on period functions of Î?0(n)""""Hausdorff dimension for Martin metrics""; ""Twistwise flow equivalence and beyondâ€? with an appendix on Almost flow equivalence""; ""Dynamical zeta functions and symplectic Floer homology""; ""1. Introduction""; ""2. Symplectic Floer homology""; ""3. Nielsen numbers and Floer homology""; ""4. Symplectic zeta functions and asymptotic invariant""; ""5. Concluding remarks and conjectures""; ""References""; ""Periodic geodesics on generic translation surfaces""
""Group action, quasi-invariant measures and quasiregular representations of the infinite-dimensional nilpotent group""""Friendly measures, homogeneous flows and singular vectors""; ""Orbit counting with an isometric direction""; ""Spaces of elliptic differentials""; ""1. Introduction""; ""2. Results and applications""; ""3. Modular fibers in genus 2""; ""References""; ""On the structure of beta shifts""; ""Interactions between dynamics, arithmetics and combinatorics: The good, the bad, and the ugly"" |
| Record Nr. | UNINA-9910788660103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebraic and topological dynamics : Algebraic and Topological Dynamics, May 1-July 31, 2004, Max-Planck-Institut für Mathematik, Bonn, Germany / / Sergiy Kolyada, Yuri Manin, Thomas Ward, editors
| Algebraic and topological dynamics : Algebraic and Topological Dynamics, May 1-July 31, 2004, Max-Planck-Institut für Mathematik, Bonn, Germany / / Sergiy Kolyada, Yuri Manin, Thomas Ward, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (378 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Algebraic topology
Topological dynamics Topological algebras |
| ISBN |
0-8218-7975-8
0-8218-3751-6 |
| Classificazione | 31.61 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""From the transfer operator for geodesic flows on modular surfaces to the Hecke operators on period functions of Î?0(n)""""Hausdorff dimension for Martin metrics""; ""Twistwise flow equivalence and beyondâ€? with an appendix on Almost flow equivalence""; ""Dynamical zeta functions and symplectic Floer homology""; ""1. Introduction""; ""2. Symplectic Floer homology""; ""3. Nielsen numbers and Floer homology""; ""4. Symplectic zeta functions and asymptotic invariant""; ""5. Concluding remarks and conjectures""; ""References""; ""Periodic geodesics on generic translation surfaces""
""Group action, quasi-invariant measures and quasiregular representations of the infinite-dimensional nilpotent group""""Friendly measures, homogeneous flows and singular vectors""; ""Orbit counting with an isometric direction""; ""Spaces of elliptic differentials""; ""1. Introduction""; ""2. Results and applications""; ""3. Modular fibers in genus 2""; ""References""; ""On the structure of beta shifts""; ""Interactions between dynamics, arithmetics and combinatorics: The good, the bad, and the ugly"" |
| Record Nr. | UNINA-9910815365203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebraic cycles and hodge theory [e-book] : lectures given at the 2nd session of the Centro Internationale Matematico Estivo (C.I.M.E.) held in Torino, Italy, june 21-29, 1993 / by Mark L. Green, Jacob P. Murre, Claire Voisin ; edited by Fabio Bardelli, Alberto Albano
| Algebraic cycles and hodge theory [e-book] : lectures given at the 2nd session of the Centro Internationale Matematico Estivo (C.I.M.E.) held in Torino, Italy, june 21-29, 1993 / by Mark L. Green, Jacob P. Murre, Claire Voisin ; edited by Fabio Bardelli, Alberto Albano |
| Autore | Green, Mark L. |
| Pubbl/distr/stampa | Berlin : Springer, 1994 |
| Descrizione fisica | 1 online resource (viii, 276 p.) |
| Disciplina | 516.35 |
| Altri autori (Persone) |
Murre, Jacob P.
Voisin, Claire Bardelli, Fabio Albano, Alberto |
| Collana | Lecture Notes in Mathematics, 1617-9692 ; 1594 |
| Soggetto topico |
Mathematics
Geometry, algebraic Algebraic topology |
| ISBN | 9783540490463 |
| Classificazione |
AMS 14C25
AMS 14C30 AMS 14D07 AMS 19E15 AMS 32J25 |
| Formato | Risorse elettroniche |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002249979707536 |
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Green, Mark L.
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| Berlin : Springer, 1994 | ||
| Risorse elettroniche | ||
| Lo trovi qui: Univ. del Salento | ||
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Algebraic foundations for applied topology and data analysis / / Hal Schenck
| Algebraic foundations for applied topology and data analysis / / Hal Schenck |
| Autore | Schenck Hal |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (231 pages) |
| Disciplina | 514.2 |
| Collana | Mathematics of Data |
| Soggetto topico |
Algebraic topology
Topological algebras Topologia algebraica Àlgebres topològiques |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031066641
9783031066634 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Linear Algebra Tools for Data Analysis -- 1.1 Linear Equations, Gaussian Elimination, Matrix Algebra -- 1.2 Vector Spaces, Linear Transformations, Basis and Change of Basis -- 1.2.1 Basis of a Vector Space -- 1.2.2 Linear Transformations -- 1.2.3 Change of Basis -- 1.3 Diagonalization, Webpage Ranking, Data and Covariance -- 1.3.1 Eigenvalues and Eigenvectors -- 1.3.2 Diagonalization -- 1.3.3 Ranking Using Diagonalization -- 1.3.4 Data Application: Diagonalization of the Covariance Matrix -- 1.4 Orthogonality, Least Squares Fitting, Singular Value Decomposition -- 1.4.1 Least Squares -- 1.4.2 Subspaces and Orthogonality -- 1.4.3 Singular Value Decomposition -- 2 Basics of Algebra: Groups, Rings, Modules -- 2.1 Groups, Rings and Homomorphisms -- 2.1.1 Groups -- 2.1.2 Rings -- 2.2 Modules and Operations on Modules -- 2.2.1 Ideals -- 2.2.2 Tensor Product -- 2.2.3 Hom -- 2.3 Localization of Rings and Modules -- 2.4 Noetherian Rings, Hilbert Basis Theorem, Varieties -- 2.4.1 Noetherian Rings -- 2.4.2 Solutions to a Polynomial System: Varieties -- 3 Basics of Topology: Spaces and Sheaves -- 3.1 Topological Spaces -- 3.1.1 Set Theory and Equivalence Relations -- 3.1.2 Definition of a Topology -- 3.1.3 Discrete, Product, and Quotient Topologies -- 3.2 Vector Bundles -- 3.3 Sheaf Theory -- 3.3.1 Presheaves and Sheaves -- 3.3.2 Posets, Direct Limit, and Stalks -- 3.3.3 Morphisms of Sheaves and Exactness -- 3.4 From Graphs to Social Media to Sheaves -- 3.4.1 Spectral Graph Theory -- 3.4.2 Heat Diffusing on a Wire Graph -- 3.4.3 From Graphs to Cellular Sheaves -- 4 Homology I: Simplicial Complexes to Sensor Networks -- 4.1 Simplicial Complexes, Nerve of a Cover -- 4.1.1 The Nerve of a Cover -- 4.2 Simplicial and Singular Homology -- 4.2.1 Singular homology -- 4.3 Snake Lemma and Long Exact Sequence in Homology.
4.3.1 Maps of complexes, Snake Lemma -- 4.3.2 Chain Homotopy -- 4.4 Mayer-Vietoris, Rips and Čech Complex, Sensor Networks -- 4.4.1 Mayer-Vietoris Sequence -- 4.4.2 Relative Homology -- 4.4.3 Čech Complex and Rips Complex -- 5 Homology II: Cohomology to Ranking Problems -- 5.1 Cohomology: Simplicial, Čech, de Rham Theories -- 5.1.1 Simplicial Cohomology -- 5.1.2 Čech Cohomology -- 5.1.3 de Rham Cohomology -- 5.2 Ranking, the Netflix Problem, and Hodge Theory -- 5.2.1 Hodge Decomposition -- 5.2.2 Application to Ranking -- 5.3 CW Complexes and Cellular Homology -- 5.4 Poincaré and Alexander Duality: Sensor Networks Revisited -- 5.4.1 Statement of Theorems and Examples -- 5.4.2 Alexander Duality: Proof -- 5.4.3 Sensor Networks Revisited -- 5.4.4 Poincaré Duality -- 6 Persistent Algebra: Modules Over a PID -- 6.1 Principal Ideal Domains and Euclidean Domains -- 6.2 Rational Canonical Form of a Matrix -- 6.3 Linear Transformations, K[t]-Modules, Jordan Form -- 6.4 Structure of Abelian Groups and Persistent Homology -- 6.4.1 Z-Graded Rings -- 7 Persistent Homology -- 7.1 Barcodes, Persistence Diagrams, Bottleneck Distance -- 7.1.1 History -- 7.1.2 Persistent Homology and the Barcode -- 7.1.3 Computation of Persistent Homology -- 7.1.4 Alpha and Witness Complexes -- 7.1.5 Persistence Diagrams -- 7.1.6 Metrics on Diagrams -- 7.2 Morse Theory -- 7.3 The Stability Theorem -- 7.4 Interleaving and Categories -- 7.4.1 Categories and Functors -- 7.4.2 Interleaving -- 7.4.3 Interleaving Vignette: Merge Trees -- 7.4.4 Zigzag Persistence and Quivers -- 8 Multiparameter Persistent Homology -- 8.1 Definition and Examples -- 8.1.1 Multiparameter Persistence -- 8.2 Graded Algebra, Hilbert Function, Series, Polynomial -- 8.2.1 The Hilbert Function -- 8.2.2 The Hilbert Series -- 8.3 Associated Primes and Zn-Graded Modules -- 8.3.1 Geometry of Sheaves. 8.3.2 Associated Primes and Primary Decomposition -- 8.3.3 Additional Structure in the Zn-Graded Setting -- 8.4 Filtrations and Ext -- 9 Derived Functors and Spectral Sequences -- 9.1 Injective and Projective Objects, Resolutions -- 9.1.1 Projective and Injective Objects -- 9.1.2 Resolutions -- 9.2 Derived Functors -- 9.2.1 Categories and Functors -- 9.2.2 Constructing Derived Functors -- 9.2.3 Ext -- 9.2.4 The Global Sections Functor -- 9.2.5 Acyclic Objects -- 9.3 Spectral Sequences -- 9.3.1 Total Complex of Double Complex -- 9.3.2 The Vertical Filtration -- 9.3.3 Main Theorem -- 9.4 Pas de Deux: Spectral Sequences and Derived Functors -- 9.4.1 Resolution of a Complex -- 9.4.2 Grothendieck Spectral Sequence -- 9.4.3 Comparing Cohomology Theories -- 9.4.4 Cartan-Eilenberg Resolution -- A Examples of Software Packages -- A.1 Covariance and Spread of Data via R -- A.2 Persistent Homology via scikit-tda -- A.3 Computational Algebra via Macaulay2 -- A.4 Multiparameter Persistence via RIVET -- Bibliography -- Index. |
| Record Nr. | UNISA-996499869303316 |
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Schenck Hal
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Soggetto topico
-
Algebraic topology
(532)
- Algebraic Topology (140)
- Mathematics (84)
- Algebraic Geometry (34)
- Algebraic geometry (34)