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Geometric aspects of general topology / / Katsuro Sakai
| Geometric aspects of general topology / / Katsuro Sakai |
| Autore | Sakai Katsuro |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, : Springer, 2013 |
| Descrizione fisica | 1 online resource (xv, 521 pages) : illustrations |
| Disciplina | 514 |
| Collana | Springer monographs in mathematics |
| Soggetto topico |
Topology
Mathematics |
| ISBN | 4-431-54397-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""Contents""; ""Chapter 1: Preliminaries""; ""1.1 Terminology and Notation""; ""1.2 Banach Spaces in the Product of Real Lines""; ""Notes for Chap. 1""; ""References""; ""Chapter 2: Metrization and Paracompact Spaces""; ""2.1 Products of Compact Spaces and Perfect Maps""; ""2.2 The Tietze Extension Theorem and Normalities""; ""2.3 Stone's Theorem and Metrization""; ""2.4 Sequences of Open Covers and Metrization""; ""2.5 Complete Metrizability""; ""2.6 Paracompactness and Local Properties""; ""2.7 Partitions of Unity""; ""2.8 The Direct Limits of Towers of Spaces""
""2.9 The Limitation Topology for Spaces of Maps""""2.10 Counter-Examples""; ""Notes for Chap.2""; ""References""; ""Chapter 3: Topology of Linear Spaces and Convex Sets""; ""3.1 Flats and Affine Functions""; ""3.2 Convex Sets""; ""3.3 The Hahn�Banach Extension Theorem""; ""3.4 Topological Linear Spaces""; ""3.5 Finite-Dimensionality""; ""3.6 Metrizability and Normability""; ""3.7 The Closed Graph and Open Mapping Theorems""; ""3.8 Continuous Selections""; ""3.9 Free Topological Linear Spaces""; ""Notes for Chap.3""; ""References""; ""Chapter 4: Simplicial Complexes and Polyhedra"" ""4.1 Simplexes and Cells""""4.2 Complexes and Subdivisions""; ""4.3 Product Complexes and Homotopy Extension""; ""4.4 PL Maps and Simplicial Maps""; ""4.5 The Metric Topology of Polyhedra""; ""4.6 Derived and Barycentric Subdivisions""; ""4.7 Small Subdivisions""; ""4.8 Admissible Subdivisions""; ""4.9 The Nerves of Open Covers""; ""4.10 The Inverse Limits of Metric Polyhedra""; ""4.11 The Mapping Cylinders""; ""4.12 The Homotopy Type of Simplicial Complexes""; ""4.13 Weak Homotopy Equivalences""; ""4.14 Appendix: Homotopy Groups""; ""References""; ""Chapter 5: Dimensions of Spaces"" ""Chapter 6: Retracts and Extensors""""6.1 The Dugundji Extension Theorem and ANEs""; ""6.2 Embeddings of Metric Spaces and ANRs""; ""6.3 Small Homotopies and LEC Spaces""; ""6.4 The Homotopy Extension Property""; ""6.5 Complementary Pairs of ANRs""; ""6.6 Realizations of Simplicial Complexes""; ""6.7 Fine Homotopy Equivalences""; ""6.8 Completions of ANRs and Uniform ANRs""; ""6.9 Homotopy Types of Open Sets in ANRs""; ""6.10 Countable-Dimensional ANRs""; ""6.11 The Local n-Connectedness""; ""6.12 Finite-Dimensional ANRs""; ""6.13 Embeddings into Finite-Dimensional ARs""; ""References"" ""Chapter 7: Cell-Like Maps and Related Topics"" |
| Record Nr. | UNINA-9910437872303321 |
Sakai Katsuro
|
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| New York, : Springer, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topology of infinite-dimensional manifolds / / Katsuro Sakai
| Topology of infinite-dimensional manifolds / / Katsuro Sakai |
| Autore | Sakai Katsuro |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2020] |
| Descrizione fisica | 1 online resource (XV, 619 p. 503 illus.) |
| Disciplina | 780 |
| Collana | Springer Monographs in Mathematics |
| Soggetto topico |
Manifolds (Mathematics)
Complex manifolds Geometry |
| ISBN | 981-15-7575-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1: Preliminaries and Background Results -- Chapter 2: Fundamental Results on Infinite-Dimensional Manifolds -- Chapter 3: Characterizations of Hilbert Manifolds and Hilbert Cube Manifolds -- Chapter 4: Triangulation of Hilbert Cube Manifolds and Related Topics -- Chapter 5: Manifolds Modeled on Homotopy Dense Subspaces of Hilbert Spaces -- Chapter 6: Manifolds Modeled on Direct Limits and Combinatorial Manifold -- Appendex: PL n-Manifolds and Combinatorial n-Manifolds -- Epilogue -- Bibliography -- Index. |
| Record Nr. | UNISA-996418182903316 |
|
Sakai Katsuro
|
||
| Singapore : , : Springer, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Topology of infinite-dimensional manifolds / / Katsuro Sakai
| Topology of infinite-dimensional manifolds / / Katsuro Sakai |
| Autore | Sakai Katsuro |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2020] |
| Descrizione fisica | 1 online resource (XV, 619 p. 503 illus.) |
| Disciplina | 780 |
| Collana | Springer Monographs in Mathematics |
| Soggetto topico |
Manifolds (Mathematics)
Complex manifolds Geometry |
| ISBN | 981-15-7575-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1: Preliminaries and Background Results -- Chapter 2: Fundamental Results on Infinite-Dimensional Manifolds -- Chapter 3: Characterizations of Hilbert Manifolds and Hilbert Cube Manifolds -- Chapter 4: Triangulation of Hilbert Cube Manifolds and Related Topics -- Chapter 5: Manifolds Modeled on Homotopy Dense Subspaces of Hilbert Spaces -- Chapter 6: Manifolds Modeled on Direct Limits and Combinatorial Manifold -- Appendex: PL n-Manifolds and Combinatorial n-Manifolds -- Epilogue -- Bibliography -- Index. |
| Record Nr. | UNINA-9910483377303321 |
|
Sakai Katsuro
|
||
| Singapore : , : Springer, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||