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Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander
| Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander |
| Autore | Friedlander Eric M. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (193 pages) |
| Disciplina | 514/.24 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Homotopy theory
Schemes (Algebraic geometry) Homology theory |
| Soggetto non controllato |
Abelian group
Adams operation Adjoint functors Alexander Grothendieck Algebraic K-theory Algebraic closure Algebraic geometry Algebraic group Algebraic number theory Algebraic structure Algebraic topology (object) Algebraic topology Algebraic variety Algebraically closed field Automorphism Base change Cap product Cartesian product Closed immersion Codimension Coefficient Cohomology Comparison theorem Complex number Complex vector bundle Connected component (graph theory) Connected space Coprime integers Corollary Covering space Derived functor Dimension (vector space) Disjoint union Embedding Existence theorem Ext functor Exterior algebra Fiber bundle Fibration Finite field Finite group Free group Functor Fundamental group Galois cohomology Galois extension Geometry Grothendieck topology Homogeneous space Homological algebra Homology (mathematics) Homomorphism Homotopy category Homotopy group Homotopy Integral domain Intersection (set theory) Inverse limit Inverse system K-theory Leray spectral sequence Lie group Local ring Mapping cylinder Natural number Natural transformation Neighbourhood (mathematics) Newton polynomial Noetherian ring Open set Opposite category Pointed set Presheaf (category theory) Reductive group Regular local ring Relative homology Residue field Riemann surface Root of unity Serre spectral sequence Shape theory (mathematics) Sheaf (mathematics) Sheaf cohomology Sheaf of spectra Simplex Simplicial set Special case Spectral sequence Surjective function Theorem Topological K-theory Topological space Topology Tubular neighborhood Vector bundle Weak equivalence (homotopy theory) Weil conjectures Weyl group Witt vector Zariski topology |
| ISBN | 1-4008-8149-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- INTRODUCTION -- 1. ETALE SITE OF A SIMPLICIAL SCHEME -- 2. SHEAVES AND COHOMOLOGY -- 3. COHOMOLOGY VIA HYPERCOVERINGS -- 4. ETALE TOPOLOGICAL TYPE -- 5. HOMOTOPY INVARIANTS -- 6. WEAK EQUIVALENCES, COMPLETIONS, AND HOMOTOPY LIMITS -- 7. FINITENESS AND HOMOLOGY -- 8. COMPARISON OF HOMOTOPY TYPES -- 9. APPLICATIONS TO TOPOLOGY -- 10. COMPARISON OF GEOMETRIC AND HOMOTOPY THEORETIC FIBRES -- 11. APPLICATIONS TO GEOMETRY -- 12. APPLICATIONS TO FINITE CHE VALLEY GROUPS -- 13. FUNCTION COMPLEXES -- 14. RELATIVE COHOMOLOGY -- 15. TUBULAR NEIGHBORHOODS -- 16. GENERALIZED COHOMOLOGY -- 17. POINCARÉ DUALITY AND LOCALLY COMPACT HOMOLOGY -- REFERENCES -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154744803321 |
Friedlander Eric M.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Higher topos theory [[electronic resource] /] / Jacob Lurie
| Higher topos theory [[electronic resource] /] / Jacob Lurie |
| Autore | Lurie Jacob <1977-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
| Descrizione fisica | 1 online resource (944 p.) |
| Disciplina | 512/.62 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Toposes
Categories (Mathematics) |
| Soggetto non controllato |
Adjoint functors
Associative property Base change map Base change CW complex Canonical map Cartesian product Category of sets Category theory Coequalizer Cofinality Coherence theorem Cohomology Cokernel Commutative property Continuous function (set theory) Contractible space Coproduct Corollary Derived category Diagonal functor Diagram (category theory) Dimension theory (algebra) Dimension theory Dimension Enriched category Epimorphism Equivalence class Equivalence relation Existence theorem Existential quantification Factorization system Functor category Functor Fundamental group Grothendieck topology Grothendieck universe Group homomorphism Groupoid Heyting algebra Higher Topos Theory Higher category theory Homotopy category Homotopy colimit Homotopy group Homotopy I0 Inclusion map Inductive dimension Initial and terminal objects Inverse limit Isomorphism class Kan extension Limit (category theory) Localization of a category Maximal element Metric space Model category Monoidal category Monoidal functor Monomorphism Monotonic function Morphism Natural transformation Nisnevich topology Noetherian topological space Noetherian O-minimal theory Open set Power series Presheaf (category theory) Prime number Pullback (category theory) Pushout (category theory) Quillen adjunction Quotient by an equivalence relation Regular cardinal Retract Right inverse Sheaf (mathematics) Sheaf cohomology Simplicial category Simplicial set Special case Subcategory Subset Surjective function Tensor product Theorem Topological space Topology Topos Total order Transitive relation Universal property Upper and lower bounds Weak equivalence (homotopy theory) Yoneda lemma Zariski topology Zorn's lemma |
| ISBN |
1-282-64495-5
9786612644955 1-4008-3055-9 |
| Classificazione |
SI 830
SK 320 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. An Overview Of Higher Category Theory -- Chapter Two. Fibrations Of Simplicial Sets -- Chapter Three. The ∞-Category Of ∞-Categories -- Chapter Four. Limits And Colimits -- Chapter Five. Presentable And Accessible ∞-Categories -- Chapter Six. ∞-Topoi -- Chapter Seven. Higher Topos Theory In Topology -- Appendix -- Bibliography -- General Index -- Index Of Notation |
| Record Nr. | UNINA-9910784939903321 |
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Lurie Jacob <1977->
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| Princeton, N.J., : Princeton University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves
| Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves |
| Autore | Cordaro Paulo |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (398 pages) |
| Disciplina | 515/.782 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hyperfunctions
Submanifolds |
| Soggetto non controllato |
Alexander Grothendieck
Analytic function Analytic manifold Borel transform Boundary value problem Bounded function Bounded set (topological vector space) Bounded set C0 CR manifold Cauchy problem Codimension Coefficient Cohomology Compact space Complex manifold Complex number Complex space Connected space Continuous function (set theory) Continuous function Convex set Convolution Cotangent bundle Counterexample De Rham cohomology Dense set Differential operator Disjoint union Domain of a function Eigenvalues and eigenvectors Embedding Entire function Equation Equivalence class Equivalence relation Euclidean space Existential quantification Exterior algebra Exterior derivative Fiber bundle Fourier transform Function space Functional analysis Fundamental solution Harmonic function Holomorphic function Homomorphism Hyperfunction Hypersurface Infimum and supremum Integration by parts Laplace's equation Limit of a sequence Linear map Linear space (geometry) Linear subspace Locally convex topological vector space Mathematical induction Montel space Montel's theorem Morphism Neighbourhood (mathematics) Norm (mathematics) Open set Partial derivative Partial differential equation Polytope Presheaf (category theory) Pullback (category theory) Pullback Quotient space (topology) Radon measure Real structure Riemann sphere Serre duality Several complex variables Sheaf (mathematics) Sheaf cohomology Singular integral Sobolev space Special case Submanifold Subsequence Subset Summation Tangent bundle Theorem Topology of uniform convergence Topology Transitive relation Transpose Transversal (geometry) Uniform convergence Uniqueness theorem Vanish at infinity Variable (mathematics) Vector bundle Vector field Wave front set |
| ISBN | 1-4008-8256-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- 0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD -- 0.2 BACKGROUND ON SHEAF COHOMOLOGY -- CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE -- CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE -- CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD -- CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS -- HISTORICAL NOTES -- BIBLIOGRAPHICAL REFERENCES -- INDEX OF TERMS |
| Record Nr. | UNINA-9910154744403321 |
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Cordaro Paulo
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Recent Developments in Several Complex Variables. (AM-100), Volume 100 / / John Erik Fornaess
| Recent Developments in Several Complex Variables. (AM-100), Volume 100 / / John Erik Fornaess |
| Autore | Fornaess John Erik |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (468 pages) : illustrations |
| Disciplina | 515.9/4 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Functions of several complex variables |
| Soggetto non controllato |
Analytic continuation
Analytic function Analytic set Analytic space Asymptotic expansion Automorphic function Axiom Base change Bergman metric Betti number Big O notation Bilinear form Boundary value problem CR manifold Canonical bundle Cauchy problem Cauchy–Riemann equations Characteristic variety Codimension Coefficient Cohomology ring Cohomology Commutative property Commutator Compactification (mathematics) Complete intersection Complete metric space Complex dimension Complex manifold Complex number Complex plane Complex projective space Complex space Complex-analytic variety Degeneracy (mathematics) Dense set Determinant Diffeomorphism Differentiable function Dimension (vector space) Dimension Eigenvalues and eigenvectors Embedding Existential quantification Explicit formulae (L-function) Fermat curve Fiber bundle Fundamental solution Gorenstein ring Hartogs' extension theorem Hilbert space Hilbert transform Holomorphic function Homotopy Hyperfunction Hypersurface Hypoelliptic operator Interpolation theorem Irreducible component Isometry Linear map Manifold Maximal ideal Monic polynomial Monotonic function Multiple integral Nilpotent Lie algebra Norm (mathematics) Open set Orthogonal group Parametrization Permutation Plurisubharmonic function Polynomial Principal bundle Principal part Principal value Projection (linear algebra) Projective line Proper map Quadratic function Real projective space Resolution of singularities Riemann surface Riemannian manifold Sectional curvature Sheaf cohomology Special case Submanifold Subset Symplectic vector space Tangent space Theorem Topology Uniqueness theorem Unit disk Unit sphere Variable (mathematics) Vector bundle Vector field |
| ISBN | 1-4008-8154-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- THE FOUNDING OF THE ANNALS STUDIES -- FOREWORD -- TABLE OF CONTENTS -- PROJECTIVE CAPACITY / Alexander, H. -- ANOTHER PROOF OF THE LEMMA OF THE LOGARITHMIC DERIVATIVE IN SEVERAL COMPLEX VARIABLES / Biancofiore, Aldo / Stoll, Wilhelm -- GRAPH THEORETIC TECHNIQUES IN ALGEBRAIC GEOMETRY I: THE EXTENDED DYNKIN DIAGRAM Ē8 AND MINIMAL SINGULAR COMPACTIFICATIONS OF C2 / Brenton, Lawrence / Drucker, Daniel / Prins, Geert C. E. -- ON METRICS AND DISTORTION THEOREMS / Burbea, Jacob -- NECESSARY CONDITIONS FOR SUBELLIPTICITY AND HYPOELLIPTICITY FOR THE ∂̅-NEUMANN PROBLEM ON PSEUDOCONVEX DOMAINS / Catlin, David -- DAS FORMALE PRINZIP FÜR KOMPAKTE KOMPLEXE UNTERMANNIGFALTIGKEITEN MIT 1-POSITIVEM NORMALENBUNDEL / Commichau, Michael / Grauert, Hans -- PERTURBATIONS OF ANALYTIC VARIETIES / D'Angelo, John P. -- BIHOLOMORPHIC MAPPINGS BETWEEN TWO-DIMENSIONAL HARTOGS DOMAINS WITH REAL-ANALYTIC BOUNDARIES / Diederich, Klas / Fornaess, John Erik -- NECESSARY CONDITIONS FOR HYPOELLIPTICITY OF THE (∂̅-PROBLEM) / Diederich, Klas / Pflug, Peter -- THE EDGE-OF-THE-WEDGE THEOREM FOR PARTIAL DIFFERENTIAL EQUATIONS / Ehrenpreis, Leon -- THE RADIAL DERIVATIVE, FRACTIONAL INTEGRALS, AND THE COMPARATIVE GROWTH OF MEANS OF HOLOMORPHIC FUNCTIONS ON THE UNIT BALL IN Cn / Graham, Ian -- STABILITY PROPERTIES OF THE BERGMAN KERNEL AND CURVATURE PROPERTIES OF BOUNDED DOMAINS / Greene, R. E. / Krantz, Steven G. -- GLOBALE HOLOMORPHE KERNE ZUR LÖSUNG DER CAUCHY-RIEMANNSCHEN DIFFERENTIALGLEICHUNGEN / Hortmann, Michael -- MAPPINGS BETWEEN CR MANIFOLDS / Jacobowitz, Howard -- BOUNDARY REGULARITY OF ∂̅ / Kohn, J. J. -- ON CP1 AS AN EXCEPTIONAL SET / Laufer, Henry B. -- ORTHOGONAL MEASURES FOR SUBSETS OF THE BOUNDARY OF THE BALL IN C2 / Lee, Hsuan-Pei / Wermer, John -- A HOLOMORPHICALLY CONVEX ANALOGUE OF CARTAN'S THEOREM B / Markoe, Andrew -- SOME GENERAL RESULTS ON EQUIVALENCE OF EMBEDDINGS / Morrow, J. / Rossi, H. -- LIMITS OF BOUNDED HOLOMORPHIC FUNCTIONS ALONG CURVES / Nagel, Alexander / Wainger, Stephen -- ON APPELL'S SYSTEMS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS / Sasaki, Takeshi / Takano, Kyoichi -- A CLASS OF HYPERBOLIC MANIFOLDS / Sibony, Nessim -- INTERPOLATION MANIFOLDS / Stout, Edgar Lee -- SURVEY OF SOME RECENT RESULTS IN C∞ AND REAL ANALYTIC HYPOELLIPTICITY FOR PARTIAL DIFFERENTIAL OPERATORS WITH APPLICATIONS TO SEVERAL COMPLEX VARIABLES / Tartakoff, David S. -- THE FERMAT SURFACE AND ITS PERIODS / Tretkoff, Marvin D. -- SHEAF COHOMOLOGY ON 1-CONVEX MANIFOLDS / Yau, Stephen S. -T. |
| Record Nr. | UNINA-9910154749403321 |
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Fornaess John Erik
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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