Introduction to topology / By Bert Mendelson.
Record details
- ISBN: 9780486663524
- ISBN: 0486663523
- Physical Description: ix, 206 páginas : ilustraciones ; 22 cm.
- Edition: 3rd ed.
Content descriptions
| General Note: | Publicado originalmente : Allyn y Bacon, Inc. Boston, 1975. |
| Bibliography, etc. Note: | Incluye bibliografía e índice. |
| Immediate Source of Acquisition Note: | IPICYT ; Compra por proyecto/Dr. Eric Campos Cantón/CONACYT-Fondos Sectoriales-SEP-S-3185/R.1127 ; 2016. APL01444. |
| Language Note: | En inglés. |
Search for related items by subject
| Subject: | Topología. |
Available copies
- 1 of 2 copies available at IPICYT.
Holds
- 0 current holds with 2 total copies.
Show Only Available Copies
| Location | Call Number / Copy Notes | Barcode | Shelving Location | Status | Due Date |
|---|---|---|---|---|---|
| Biblioteca Ipicyt | QA611 M4 I5 1990 | APL00263 | Coleccion General | Available | - |
| Biblioteca Ipicyt | QA611 M4 I5 1990 | APL01444 | Coleccion General | Proyecto | - |
| 1. | Theory of Sets | 1 |
| 1. | Introduction | 1 |
| 2. | Sets and Subsets | 2 |
| 3. | Set Operations: union, intersection, and complement | 4 |
| 4. | Indexed Families of Sets | 7 |
| 5. | Products of Sets | 9 |
| 6. | Functions | 11 |
| 7. | Relations | 15 |
| 8. | Composition of Functions and Diagrams | 17 |
| 9. | Inverse Functions, Extensions, and Restrictions | 21 |
| 10. | Arbitrary Products | 25 |
| 2. | Metric Spaces | 29 | |
| 1. | Introduction | 29 |
| 2. | Metric Spaces | 30 |
| 3. | Continuity | 35 |
| 4. | Open Balls and Neighborhoods | 40 |
| 5. | Limits | 47 |
| 6. | Open Sets and Closed Sets | 52 |
| 7. | Subspaces and Equivalence of Metric Spaces | 58 |
| 8. | An Infinite Dimensional Euclidean Space | 66 |
| 3. | Topological Spaces | 70 |
| 1. | Introduction | 70 |
| 2. | Topological Spaces | 71 |
| 3. | Neighborhoods and Neighborhood Spaces | 75 |
| 4. | Closure, Interior, Boundary | 81 |
| 5. | Functions, Continuity, Homeomorphism | 87 |
| 6. | Subspaces | 92 |
| 7. | Products | 97 |
| 8. | Identification Topologies | 101 |
| 9. | Categories and Functors | 107 |
| 4. | Connectedness | 112 |
| 1. | Introduction | 112 |
| 2. | Connectedness | 113 |
| 3. | Connectedness on the Real Line | 119 |
| 4. | Some Applications of Connectedness | 122 |
| 5. | Components and Local Connectedness | 130 |
| 6. | Path-Connected Topological Spaces | 133 |
| 7. | Homotopic Paths and the Fundamental Group | 139 |
| 8. | Simple Connectedness | 151 |
| 5. | Compactness | 157 |
| 1. | Introduction | 157 |
| 2. | Compact Topological Spaces | 158 |
| 3. | Compact Subsets of the Real Line | 164 |
| 4. | Products of Compact Spaces | 168 |
| 5. | Compact Metric Spaces | 172 |
| 6. | Compactness and the Bolzano-Weierstrass Property | 179 |
| 7. | Surface by Identification | 186 |
| Bibliography. | 201 | |
| Index. | 203 |
