Basic topology/ (Record no. 170434)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02277nam a2200181Ia 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780387908397 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514 |
| Item number | ARM/ |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Armstrong, M.A. |
| 245 #0 - TITLE STATEMENT | |
| Title | Basic topology/ |
| Statement of responsibility, etc. | M.A. Armstrong |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | New York: |
| Name of publisher, distributor, etc. | Springer, |
| Date of publication, distribution, etc. | 1983. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xii, 251 p. : |
| Other physical details | ill. ; |
| Dimensions | 25 cm. |
| 440 ## - SERIES | |
| Title | (Undergraduate texts in mathematics) |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Introduction --<br/>1.1 Euler's theorem --<br/>1.2 Topological equivalence --<br/>1.3 Surfaces --<br/>1.4 Abstract spaces --<br/>1.5 A classification theorem --<br/>1.6 Topological invariants --<br/>2. Continuity --<br/>2.1 Open and closed sets --<br/>2.2 Continuous functions --<br/>2.3 A space-filling curve --<br/>2.4 The Tietze extension theorem --<br/>3. Compactness and connectedness --<br/>3.1 Closed bounded subsets of E[n] --<br/>3.2 The Heine-Borel theorem --<br/>3.3 Properties of compact spaces --<br/>3.4 Product spaces --<br/>3.5 Connectedness --<br/>3.6 Joining points by paths --<br/>4. Identification spaces --<br/>4.1 Constructing a Möbius strip --<br/>4.2 The identification topology --<br/>4.3 Topological groups --<br/>4.4 Orbit spaces --<br/>5. The fundamental group --<br/>5.1 Homotopic maps --<br/>5.2 Construction of the fundamental group --<br/>5.3 Calculations --<br/>5.4 Homotopy type --<br/>5.5 The Brouwer fixed-point theorem --<br/>5.6 Separation of the plane --<br/>5.7 The boundary of a surface --<br/>6. Triangulations --<br/>6.1 Triangulating spaces --<br/>6.2 Barycentric subdivision --<br/>6.3 Simplicial approximation --<br/>6.4 The edge group of a complex --<br/>6.5 Triangulating orbit spaces --<br/>6.6 Infinite complexes --<br/>7. Surfaces --<br/>7.1 Classification --<br/>7.2 Triangulation and orientation --<br/>7.3 Euler characteristics --<br/>7.4 Surgery --<br/>7.5 Surface symbols --<br/>8. Simplicial homology --<br/>8.1 Cycles and boundaries --<br/>8.2 Homology groups --<br/>8.3 Examples --<br/>8.4 Simplicial maps --<br/>8.5 Stellar subdivision --<br/>8.6 Invariance --<br/>9. Degree and Lefschetz number --<br/>9.1 Maps of spheres --<br/>9.2 The Euler-Poincaré formula --<br/>9.3 The Borsuk-Ulam theorem --<br/>9.4 The Lefschetz fixed-point theorem --<br/>9.5 Dimension --<br/>10. Knots and covering spaces --<br/>10.1 Examples of knots --<br/>10.2 The knot group --<br/>10.3 Seifert surfaces --<br/>10.4 Covering spaces --<br/>10.5 The Alexander polynomial --<br/>Appendix: Generators and relations. |
| 650 ## - SUBJECT | |
| Keyword | Topology |
| 650 ## - SUBJECT | |
| Keyword | Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Date last checked out | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 27/10/2016 | 514 ARM/ | P25412 | 15/09/2023 | 10/08/2023 | General Books |