Overview

Full Product Details

Author:   Peter Gabriel ,  M. Zisman
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1967
Volume:   35
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783642858468

ISBN 10:   3642858465
Pages:   168
Publication Date:   05 May 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Dictionary.- I. Categories of Fractions.- 1. Categories of Fractions. Categories of Fractions and Adjoint Functors.- 2. The Calculus of Fractions.- 3. Calculus of Left Fractions and Direct Limits.- 4. Return to Paragraph 1.- II. Simplicial Sets.- 1. Functor Categories.- 2. Definition of Simplicial Sets.- 3. Skeleton of a Simplicial Set.- 4. Simplicial Sets and Category of Categories.- 5. Ordered Sets and Simplicial Sets. Shuffles.- 6. Groupoids.- 7. Groupoids and Simplicial Sets.- III. Geometric Realization of Simplicial Sets.- 1. Geometric Realization of a Simplicial Set.- 4. Kelley Spaces.- 3. Exactness Properties of the Geometric Realization Functor.- 4. Geometric Realization of a Locally Trivial Morphism.- IV. The Homotopic Category.- 1. Homotopies.- 2. Anodyne Extensions.- 3. Kan Complexes.- 4. Pointed Complexes.- 5. Poincaré Group of a Pointed Complex.- V. Exact Sequences of Algebraic Topology.- 1. 2-Categories.- 2. Exact Sequences of Pointed Groupoids.- 3. Spaces of Loops.- 4. Exact Sequences: Statement of the Theorem and Invariance.- 5. Proof of Theorem 4.2.- 6. Duality.- 7. First Example: Pointed Topological Spaces.- 8. Second Example: Differential Complexes of an Abelian Category.- VI. Exact Sequences of the Homotopic Category.- 1. Spaces of Loops.- 2. Cones.- 3. Homotopy Groups.- 4. Generalities on Fibrations.- 5. Minimal Fibrations.- VII. Combinatorial Description of Topological Spaces.- 1. Geometric Realization of the Homotopic Category.- 2. Geometric Realization of the Pointed Homotopic Category.- 3. Proof of Milnor’s Theorem.- Appendix I. Coverings.- 1. Coverings of a Groupoid.- 2. Coverings of Groupoids and Simplicial Coverings.- 3. Simplicial Coverings and Topological Coverings.- Appendix II. The Homology Groups of a Simplicial Set.- 2. The ReducedHomology Group of a Pointed Simplicial Set.- 3. The Spectral Sequence of Direct Limits.- 4. The Spectral Sequence of a Fibration.- Index of Notations.- Terminological Index.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions