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초록
In this paper, we show that, under some conditions, self-maps of product spaces can be represented by the composition of two specific self-maps if their induced homomorphism on the i-th homotopy group is an automorphism for all i in some section of positive integers. As an application, we obtain closeness numbers of several product spaces.
키워드
reducible; k-reducible; self-homotopy equivalence; self-closeness number; HOMOTOPY-EQUIVALENCES
- 제목
- FACTORIZATION OF CERTAIN SELF-MAPS OF PRODUCT SPACES
- 저자
- Jun, Sangwoo; Lee, Kee Young
- 발행일
- 2017-07
- 유형
- Article
- 저널명
- 대한수학회지
- 권
- 54
- 호
- 4
- 페이지
- 1231 ~ 1242