G p -SPACES FOR MAPS AND HOMOLOGY DECOMPOSITIONS

• 발행기관: 충청수학회
• 저자명: Yeon Soo Yoon
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 28, No. 4, 603~614쪽, 전체 12쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2015.11.30

국문 초록

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.

목차

1. Introduction

2. G’p-spaces for maps

3. G’p -spaces for maps and homology decompositions

키워드

Gf -spaces for maps Postnikov systems.