G' p-SPACES FOR MAPS AND HOMOLOGY DECOMPOSITIONS

Abstract

For a map p : X → A, we define and study a concept p-space for a map, which is a generalized one of a G'-space. of G' 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'-space. It is shown that X is p-space if and only if Gn(X, p, A) = H n(X) for all n. We also a G' 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.

This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.