31 citations · 111 across the 46 of their papers we have counts for
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A short elementary proof of Beben and Theriault's theorem on homotopy fibers
Daisuke Kishimoto, Yuki Minowa
Beben and Theriault proved a theorem on the homotopy fiber of an extension of a map with respect to a cone attachment, which has produced several applications. We give a short and…
Van Kampen-Flores theorem and Stiefel-Whitney classes
Daisuke Kishimoto, Takahiro Matsushita
The van Kampen-Flores theorem states that the -skeleton of a -simplex does not embed into . We prove the van Kampen-Flores theorem for triangulations of…
Tight complexes are Golod
Kouyemon Iriye, Daisuke Kishimoto
The Golodness of a simplicial complex is defined algebraically in terms of the Stanley-Reisner ring, and it has been a long-standing problem to find its combinatorial characterizat…
The space of commuting elements in a Lie group and maps between classifying spaces
Daisuke Kishimoto, Masahiro Takeda, Mitsunobu Tsutaya
Let be a discrete group, and let be a compact connected Lie group. Then there is a map between the null-components of…
Cellular cosheaf homology are cosheaf homology
Daisuke Kishimoto, Yasutomo Yushima
A cosheaf is the dual notion of a sheaf, but we cannot define its homology as the formal dual of sheaf cohomology, in general, because of the lack of the cosheafification. A cellul…
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…