Finiteness conditions for CW complexes. Il
Finiteness conditions for CW complexes. Il
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DOI：
10.1098/rspa.1966.0230
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发表时间：
1966-11
期刊：
影响因子：
--
通讯作者：
C. Wall
中科院分区：
文献类型：
--
作者：
C. Wall
A CW complex is a topological space which is built up in an inductive way by a process of attaching cells. Spaces homotopy equivalent to CW complexes play a fundamental role in topology. In the previous paper with the same title we gave criteria (in terms of more-or-less standard invariants of the space) for a CW complex to be homotopy equivalent to one of finite dimension, or to one with a finite number of cells in each dimension, or to a finite complex. This paper contains some simplification of these results. In addition, algebraic machinery is developed which provides a rough classification of CW complexes homotopy equivalent to a given one (the existence clause of the classification is the interesting one). The results would take a particularly simple form if a certain (rather implausible) conjecture could be established.
