14 citations · 28 across the 13 of their papers we have counts for
7 papers · 1 filter
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…
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…
On the second homotopy group of
Katsuya Eda, Umed H. Karimov, Dušan Repovš
In our earlier paper (K. Eda, U. Karimov, and D. Repovš, \emph{A construction of simply connected noncontractible cell-like two-dimensional Peano continua}, Fund. Math. \textbf{195…
A construction of noncontractible simply connected cell-like two dimensional Peano continua
Katsuya Eda, Umed H. Karimov, Dušan Repovš
Using the topologist sine curve we present a new functorial construction of cone-like spaces, starting in the category of all path-connected topological spaces with a base point an…