1 citations · 2 across the 5 of their papers we have counts for
6 papers
On the Borsuk conjecture concerning homotopy domination
R. Komendarczyk, S. Kwasik, W. Rosicki
In the seminal monograph "Theory of retracts", Borsuk raised the following question: suppose two compact ANR's are --equal, i.e. mutually homotopy dominate each other, are they…
Cocycle invariants of codimension 2-embeddings of manifolds
Jozef H. Przytycki, Witold Rosicki
We consider the classical problem of a position of n-dimensional manifold M in R^{n+2}. We show that we can define the fundamental (n+1)-cycle and the shadow fundamental (n+2)-cycl…
On Minc's sheltered middle path
Dušan Repovš, Witold Rosicki, Žiga Virk +1
This paper shows that a construction, which was introduced by Piotr Minc in connection with a problem that came from Helly type theorems and that allows to replace three PL-arcs wi…
Constructing near-embeddings of codimension one manifolds with countable dense singular sets
D. Repovš, W. Rosicki, A. Zastrow +1
The purpose of this paper is to present, for all , very simple examples of continuous maps from closed -manifolds into closed -man…
Embeddability of multiple cones
Dušan Repovš, Witold Rosicki, Andreas Zastrow +1
The main result of this paper is that if is a Peano continuum such that its -th cone embeds into $\RR^{n+2}$ then embeds into . This solves a problem propo…
The topological interpretation of the core group of a surface in S^4
Jozef H. Przytycki, Witold Rosicki
We give a topological interpretation of the core group invariant of a surface embedded in S^4. We show that the group is isomorphic to the free product of the fundamental group of…