학술저널
G p -SPACES FOR MAPS AND HOMOLOGY DECOMPOSITIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 28, No. 4
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2015.11603 - 614 (12 pages)
- 2
For a map p : X → A, we define and study a concept of G’p -space for a map, which is a generalized one of a G’ -space. Any G -space is a G’p -space, but the converse does not hold. In fact, CP 2 is a G’δ -space, but not a G 0 -space. It is shown that X is a G’p -space if and only if Gn (X, p, A) = Hn (X) for all n. We also obtain some results about G’p -spaces and homology decompositions for spaces. As a corollary, we can obtain a dual result of Haslam’s result about G-spaces and Postnikov systems.
1. Introduction
2. G’p-spaces for maps
3. G’p -spaces for maps and homology decompositions
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