Basic Algebraic Topology and its Applications [[electronic resource] /] / by Mahima Ranjan Adhikari
| Basic Algebraic Topology and its Applications [[electronic resource] /] / by Mahima Ranjan Adhikari |
| Autore | Adhikari Mahima Ranjan |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | New Delhi : , : Springer India : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XXIX, 615 p. 176 illus.) |
| Disciplina | 514.2 |
| Soggetto topico |
Algebraic topology
Topological groups Lie groups Manifolds (Mathematics) Complex manifolds Group theory K-theory Algebraic Topology Topological Groups, Lie Groups Manifolds and Cell Complexes (incl. Diff.Topology) Group Theory and Generalizations K-Theory |
| ISBN | 81-322-2843-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Prerequisite Concepts and Notations -- Basic Homotopy -- The Fundamental Groups.-Covering Spaces -- Fibre Bundles, Vector Bundles and K-theory -- Geometry of Simplicial Complexes and Fundamental Groups -- Higher Homotopy Groups -- Products in Higher Homotopy Groups -- CW-complexes and Homotopy -- Eilenberg-MacLane Spaces -- Homology and Cohomology Theories -- Eilenberg-Steenrod Axioms for Homology and Cohomology Theories -- Consequences of the Eilenberg-Steenrod Axioms -- Some Applications of Homology Theory -- Spectral Homology and Cohomology Theories -- Obstruction Theory -- More Relations Between Homotopy and Homology Groups -- A Brief Historical Note. |
| Record Nr. | UNINA-9910254088603321 |
Adhikari Mahima Ranjan
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| New Delhi : , : Springer India : , : Imprint : Springer, , 2016 | ||
| Lo trovi qui: Univ. Federico II | ||
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Basic Modern Algebra with Applications [[electronic resource] /] / by Mahima Ranjan Adhikari, Avishek Adhikari
| Basic Modern Algebra with Applications [[electronic resource] /] / by Mahima Ranjan Adhikari, Avishek Adhikari |
| Autore | Adhikari Mahima Ranjan |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | New Delhi : , : Springer India : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (XIX, 637 p. 48 illus.) : online resource |
| Disciplina | 512 |
| Soggetto topico |
Algebra
Commutative algebra Commutative rings Group theory Number theory Categories (Mathematics) Algebra, Homological Applied mathematics Engineering mathematics Commutative Rings and Algebras Group Theory and Generalizations Number Theory Category Theory, Homological Algebra Applications of Mathematics |
| ISBN | 81-322-1599-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Prerequisites: Basics of Set Theory and Integers -- Groups: Introductory Concepts -- Actions of Groups, Topological Groups and semigroups -- Rings: Introductory Concepts -- Ideals of Rings: Introductory concepts -- Factorization in Integral Domains and in Polynomial Rings -- Rings with Chain Conditions -- Vector Spaces -- Modules -- Algebraic Aspects of Number Theory -- Algebraic Numbers -- Introduction to Mathematical Cryptography -- Appendix A: Some Aspects of Semirings -- Appendix B: Category Theory -- Appendix C: A Brief Historical Note. . |
| Record Nr. | UNINA-9910300144103321 |
Adhikari Mahima Ranjan
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| New Delhi : , : Springer India : , : Imprint : Springer, , 2014 | ||
| Lo trovi qui: Univ. Federico II | ||
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Basic Topology 3 [[electronic resource] ] : Algebraic Topology and Topology of Fiber Bundles / / by Mahima Ranjan Adhikari
| Basic Topology 3 [[electronic resource] ] : Algebraic Topology and Topology of Fiber Bundles / / by Mahima Ranjan Adhikari |
| Autore | Adhikari Mahima Ranjan |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (XXV, 468 p. 99 illus., 5 illus. in color.) |
| Disciplina | 514 |
| Soggetto topico |
Topology
Mathematical analysis Algebra Analysis Topologia algebraica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-6550-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Prerequisite Concepts of Topology, Algebra and Category Theory -- 2. Homotopy Theory: Fundamental and Higher Homotopy Groups -- 3. Homology and Cohomology Theories: An Axiomatic Approach with Consequences -- 4. Topology of Fiber Bundles -- 5. Homotopy Theory of Bundles -- 6. Some Applications of Algebraic Topology -- 7. Brief History on Algebraic Topology and Fiber Bundles. |
| Record Nr. | UNISA-996518463303316 |
Adhikari Mahima Ranjan
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| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022 | ||
| Lo trovi qui: Univ. di Salerno | ||
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Basic Topology 3 [[electronic resource] ] : Algebraic Topology and Topology of Fiber Bundles / / by Mahima Ranjan Adhikari
| Basic Topology 3 [[electronic resource] ] : Algebraic Topology and Topology of Fiber Bundles / / by Mahima Ranjan Adhikari |
| Autore | Adhikari Mahima Ranjan |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (XXV, 468 p. 99 illus., 5 illus. in color.) |
| Disciplina | 514 |
| Soggetto topico |
Topology
Mathematical analysis Algebra Analysis Topologia algebraica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-6550-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Prerequisite Concepts of Topology, Algebra and Category Theory -- 2. Homotopy Theory: Fundamental and Higher Homotopy Groups -- 3. Homology and Cohomology Theories: An Axiomatic Approach with Consequences -- 4. Topology of Fiber Bundles -- 5. Homotopy Theory of Bundles -- 6. Some Applications of Algebraic Topology -- 7. Brief History on Algebraic Topology and Fiber Bundles. |
| Record Nr. | UNINA-9910682548203321 |
Adhikari Mahima Ranjan
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| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022 | ||
| Lo trovi qui: Univ. Federico II | ||
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