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http://dx.doi.org/10.14403/jcms.2015.28.4.603

G'p-SPACES FOR MAPS AND HOMOLOGY DECOMPOSITIONS  

Yoon, Yeon Soo (Department of Mathematics Education Hannam University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.28, no.4, 2015 , pp. 603-614 More about this Journal
Abstract
For a map $p:X{\rightarrow}A$, we define and study a concept of $G^{\prime}_p$-space for a map, which is a generalized one of a G'-space. Any G'-space is a $G^{\prime}_p$-space, but the converse does not hold. In fact, $CP^2$ is a $G^{\prime}_{\delta}$-space, but not a G'-space. It is shown that X is a $G^{\prime}_p$-space if and only if $G^n(X,p,A)=H^n(X)$ for all n. We also obtain some results about $G^{\prime}_p$-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.
Keywords
$G^f$-spaces for maps; Postnikov systems;
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Times Cited By KSCI : 2  (Citation Analysis)
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