MARC details
| 000 -LEADER |
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| fixed length control field |
03932cam a22003134a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
CUTN |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20231215125321.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
010314s2001 riua b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0821821601 (alk. paper) |
| 041 ## - LANGUAGE CODE |
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| Language |
English |
| 042 ## - AUTHENTICATION CODE |
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| Authentication code |
pcc |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
514.2 |
| Edition number |
21 |
| Item number |
DAV |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Davis, James F. |
| 245 10 - TITLE STATEMENT |
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| Title |
Lecture notes in algebraic topology / |
| Statement of responsibility, etc |
James F. Davis, Paul Kirk. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Providence, R.I. : |
| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
c2001. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xv, 367 p. : |
| Other physical details |
ill. ; |
| Dimensions |
27 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Graduate studies in mathematics, |
| Volume number/sequential designation |
v. 35 |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
Chapters<br/>Chapter 1. Chain complexes, homology, and cohomology<br/>Chapter 2. Homological algebra<br/>Chapter 3. Products<br/>Chapter 4. Fiber bundles<br/>Chapter 5. Homology with local coefficients<br/>Chapter 6. Fibrations, cofibrations and homotopy groups<br/>Chapter 7. Obstruction theory and Eilenberg-MacLane spaces<br/>Chapter 8. Bordism, spectra, and generalized homology<br/>Chapter 9. Spectral sequences<br/>Chapter 10. Further applications of spectral sequences<br/>Chapter 11. Simple-homotopy theory |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
Volume: 35; 2001; 367 pp<br/>MSC: Primary 55; 57;<br/>The amount of algebraic topology a graduate student specializing in topology must learn can be intimidating. Moreover, by their second year of graduate studies, students must make the transition from understanding simple proofs line-by-line to understanding the overall structure of proofs of difficult theorems.<br/><br/>To help students make this transition, the material in this book is presented in an increasingly sophisticated manner. It is intended to bridge the gap between algebraic and geometric topology, both by providing the algebraic tools that a geometric topologist needs and by concentrating on those areas of algebraic topology that are geometrically motivated.<br/><br/>Prerequisites for using this book include basic set-theoretic topology, the definition of CW-complexes, some knowledge of the fundamental group/covering space theory, and the construction of singular homology. Most of this material is briefly reviewed at the beginning of the book.<br/><br/>The topics discussed by the authors include typical material for first- and second-year graduate courses. The core of the exposition consists of chapters on homotopy groups and on spectral sequences. There is also material that would interest students of geometric topology (homology with local coefficients and obstruction theory) and algebraic topology (spectra and generalized homology), as well as preparation for more advanced topics such as algebraic K<br/>-theory and the s-cobordism theorem.<br/><br/>A unique feature of the book is the inclusion, at the end of each chapter, of several projects that require students to present proofs of substantial theorems and to write notes accompanying their explanations. Working on these projects allows students to grapple with the “big picture”, teaches them how to give mathematical lectures, and prepares them for participating in research seminars.<br/><br/>The book is designed as a textbook for graduate students studying algebraic and geometric topology and homotopy theory. It will also be useful for students from other fields such as differential geometry, algebraic geometry, and homological algebra. The exposition in the text is clear; special cases are presented over complex general statements.<br/><br/>Readership<br/>Graduate students and research mathematicians interested in geometric topology and homotopy theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Algebraic topology. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Kirk, P. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Project book |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Fuller form of name |
(James Frederic), |
| Dates associated with a name |
1955- |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| International Standard Serial Number |
1065-7339 ; |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (p. 359-361) and index. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Fuller form of name |
(Paul) |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
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7 |
| b |
cbc |
| c |
orignew |
| d |
1 |
| e |
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| f |
20 |
| g |
y-gencatlg |
