31 citations · 111 across the 46 of their papers we have counts for
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Golodness and polyhedral products for two dimensional simplicial complexes
Kouyemon Iriye, Daisuke Kishimoto
Golodness of 2-dimensional simplicial complexes is studied through polyhedral products, and combinatorial and topoogical characterization of Golodness of surface triangulations is…
Polyhedral products for simplicial complexes with minimal Taylor resolutions
Kouyemon Iriye, Daisuke Kishimoto
We prove that for a simplicial complex whose Taylor resolution for the Stanley-Reisner ring is minimal, the following four conditions are equivalent: (1) satisfies the stro…
Polyhedral products for shifted complexes and higher Whitehead products
Kouyemon Iriye, Daisuke Kishimoto
This paper studies the map between polyhedral products induced from the pinch maps $(CX_i,X_i)\to(ΣX…
Decompositions of suspensions of spaces involving polyhedral products
Kouyemon Iriye, Daisuke Kishimoto
Two homotopy decompositions of supensions of spaces involving polyhedral products are given. The first decomposition is motivated by the decomposition of suspensions of polyhedral…
Infiniteness of -types of gauge groups
Daisuke Kishimoto, Mitsunobu Tsutaya
Let be a compact connected Lie group and let be a principal -bundle over . The gauge group of is the topological group of automorphisms of . For fixed and…