Gf-SPACES FOR MAPS AND POSTNIKOV SYSTEMS

• 발행기관: 충청수학회
• 저자명: Yeon Soo Yoon
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 22, No. 4, 831~841쪽, 전체 11쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2009.12.30

영문 초록

For a map f : A ! X, we define and study a concept of Gf -space for a map, which is a generalized one of a G-space. Any G-space is a Gf -space, but the converse does not hold. In fact, S2 is a G-space, but not G-space. We show that X is a Gf -space if and only if Gn(A, f,X) = n(X) for all n. It is clear that any Hf -space is a Gf -space and any Gf -space is a Wf -space. We can also obtain some results about Gf -spaces in Postnikov systems for spaces, which are generalization of Haslam’s results about G-spaces.

목차

1. Introduction

2. Gf -spaces for maps

3. Gf -spaces for maps and Postnikov systems

References