14 citations · 28 across the 13 of their papers we have counts for
13 papers
From uncountable abelian groups to uncountable nonabelian groups
Katsuya Eda
The present note surveys my research related to generalizing notions of abelian group theory to non-commutative case and applying them particularly to investigate fundamental group…
Making spaces wild (simply-connected case)
Katsuya Eda
We attach copies of the circle to points of a countable dense subset of a separable metric space and construct an earring space . We show that the fundamental group…
Infinitary braid groups
Katsuya Eda, Takeshi Kaneto
An infinitary version of braid groups has been considered as a direct limit of n-braid groups. However, we can imagine more complicated braids with infinitely many strings. We inve…
Cotorsion-free groups from a topological viewpoint
Katsuya Eda, Hanspeter Fischer
We present a characterization of cotorsion-free abelian groups in terms of homomorphisms from fundamental groups of Peano continua, which aligns naturally with the generalization o…
On Snake cones, Alternating cones and related constructions
Katsuya Eda, Umed H. Karimov, Dušan Repovš +1
We show that the Snake on a square is homotopy equivalent to the space which was investigated in the previous work by Eda, Karimov and Repov\vs. We also introdu…
On 2-dimensional nonaspherical cell-like Peano continua: A simplified approach
Katsuya Eda, Umed H. Karimov, Dušan Repovš
We construct a functor from the category of path connected spaces with a base point to the category of simply connected spaces. The following are the main results…