The order of the group of self-homotopy equivalence of wedge spaces
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arXiv
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| Format: | Preprint |
| Published: |
2015
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| _version_ | 1866914688689766400 |
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| author | Zhu, Zhongjian |
| author_facet | Zhu, Zhongjian |
| contents | In this paper $Aut(ΣX\vee ΣY)^\#$ the order of the group of self-homotopy equivalence of wedge spaces is studied. Under the condition of reducibility, we decompose $ Aut(\bigvee\limits_{t=1}^{k}X_{t})$ to the product of subgroups which generalizes the known results for $k=2$. Then we also give the formula for $ Aut(\bigvee\limits_{t=1}^{k}ΣX_{t})^{\#}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1508_00103 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | The order of the group of self-homotopy equivalence of wedge spaces Zhu, Zhongjian Algebraic Topology In this paper $Aut(ΣX\vee ΣY)^\#$ the order of the group of self-homotopy equivalence of wedge spaces is studied. Under the condition of reducibility, we decompose $ Aut(\bigvee\limits_{t=1}^{k}X_{t})$ to the product of subgroups which generalizes the known results for $k=2$. Then we also give the formula for $ Aut(\bigvee\limits_{t=1}^{k}ΣX_{t})^{\#}$. |
| title | The order of the group of self-homotopy equivalence of wedge spaces |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/1508.00103 |