A geometric decomposition of spaces into cells of different types

Details A geometric decomposition of spaces into cells of different types A geometric decomposition of spaces into cells of different types

2006-12-10

arxiv.org/abs/math/0612254v1

Mathematics

Algebraic Topology

to be published in "Journal of Homotopy and Related Structures"

Scientific paper

We develop the theory of CW(A)-complexes, which generalizes the classical
theory of CW-complexes, keeping the geometric intuition of J.H.C. Whitehead's
original theory. We obtain this way generalizations of classical results, such
as Whitehead Theorem, which allow a deeper insight in the homotopy properties
of these spaces.

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