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FACTORIZATION OF CERTAIN SELF-MAPS OF PRODUCT SPACES
- Authors
- Jun, Sangwoo; Lee, Kee Young
- Issue Date
- 7월-2017
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- reducible; k-reducible; self-homotopy equivalence; self-closeness number
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.54, no.4, pp.1231 - 1242
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 54
- Number
- 4
- Start Page
- 1231
- End Page
- 1242
- ISSN
- 0304-9914
- Abstract
- 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.
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