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- W94679887 abstract "This chapter presents homotopy classifications of two dimensional CW complexes and maps between them. Cases of these abstract classifications are detailed in Chapter III. Simplicial techniques are invoked in Section 1 to analyze maps of balls and spheres into 2-complexes. This analysis is applied in Section 2 to study the long exact sequence of homotopy groups for a 2-complex and to derive J. H. C. Whitehead's equivalence of the homotopy theory of 2-complexes with the purely algebraic theory of free crossed modules. Cellular chain complexes of universal coverings of 2-complexes are developed in Section 3. This equivariant world provides the foundation for the treatment in Section 4 of an abelianized version of Whitehead's equivalence, namely, the theory of algebraic 2-type of 2-complexes due to S. Mac Lane and Whitehead." @default.
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- W94679887 date "1993-12-09" @default.
- W94679887 modified "2023-09-25" @default.
- W94679887 title "Algebraic Topology for Two Dimensional Complexes" @default.
- W94679887 doi "https://doi.org/10.1017/cbo9780511629358.004" @default.
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