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arXiv · 2207.12078

Monoids related to self homotopy equivalences of fibred product

Debasis Sen·Gopal Chandra Dutta
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Abstract

We introduce a nested sequence of monoids related to self-homotopy equivalences of fibrewise pointed spaces, such that the limit is the group of homotopy classes of fibrewise pointed self-equivalences. We explore this monoid for the fibred product in terms of individual spaces. Further we study two related invariants associated to these monoids: self closeness number and self length.

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Debasis Sen, Gopal Chandra Dutta. 2022-07-25. Monoids related to self homotopy equivalences of fibred product. https://arxiv.org/abs/2207.12078

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