FACTORIZATION OF CERTAIN SELF-MAPS OF PRODUCT SPACES
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...
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| Published in: | Journal of the Korean Mathematical Society pp. 1231 - 1242 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
대한수학회
01-07-2017
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | 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. KCI Citation Count: 0 |
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| ISSN: | 0304-9914 2234-3008 |
| DOI: | 10.4134/JKMS.j160434 |