Homology of Cell Complexes by George E. Cooke, Ross L. Finney

Homology of Cell Complexes



Download Homology of Cell Complexes

Homology of Cell Complexes George E. Cooke, Ross L. Finney ebook
ISBN: 9780691623139
Publisher: Princeton University Press
Format: pdf
Page: 274


The homology groups Hn(C) of the original complex? Vector field on the cell complex (see Discrete Morse Theory [5],AT-model method [7 ogous K(V ) of V is a cell complex having the same “homology” than it. The discrete analogue of the strong Morse inequality was proved by Forman for finite CW complexes using a Witten deformation technique. A quasi-regular cell complex is defined and shown to have a Key words and phrases. 1 Notation regarding CW complexes; 2 Discrete Morse functions; 3 The Morse 4.1 The Morse Inequalities; 4.2 Discrete Morse Homology and Homotopy Type. We treat the special case of CW complexes. Euler (mod 2) space, Stiefel-Whitney homology class. The effect on homology of attaching some n-cells. Let us deal first with the basic case of integer coefficients. 2.1.1 Singular homology and cohomology.





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