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math.AT2023
Homology self closeness number and cofibration sequence
Gopal Chandra Dutta
We study the homology self-closeness numbers of simply connected CW complex and those of the homotopy cofiber. Self-maps of spaces in cofibrations which appear in Homology decompos…
math.AT2022
Monoids related to self homotopy equivalences of fibred product
Debasis Sen, Gopal Chandra Dutta
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 point…
math.AT2022
Equivariant self-homotopy equivalences of product spaces
Gopal Chandra Dutta, Debasis Sen, Ajay Singh Thakur
Let G be a finite group. We study the group of G-equivariant self-homotopy equivalences of product of G-spaces. For a product of n-spaces, we represent it as product of n-subgroups…