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math.AT2022
Homotopy commutativity in Hermitian symmetric spaces
Daisuke Kishimoto, Masahiro Takeda, Yichen Tong
Ganea proved that the loop space of is homotopy commutative if and only if . We generalize this result to that the loop spaces of all irreducible Hermitian sym…
math.AT2021
Self-Closeness Number of Non-Simply-Connected Spaces
Yichen Tong
The self-closeness number of a space is the least integer such that any self-map is a homotopy equivalence whenever it is an isomorphism in the -th hom…