The order of the group of self-homotopy equivalence of wedge spaces
Abstract
In this paper $Aut(\Sigma X\vee \Sigma Y)^\#$ 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}\Sigma X_{t})^{\#}$.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2015
- DOI:
- 10.48550/arXiv.1508.00103
- arXiv:
- arXiv:1508.00103
- Bibcode:
- 2015arXiv150800103Z
- Keywords:
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- Mathematics - Algebraic Topology
- E-Print:
- The result of this paper is trivial