3 papers
math.GT2024
Splitting of homotopy idempotents revisited
Jerzy Dydak
We are presenting proofs of fundamental results related to homotopy idempotents, proofs that are sufficiently simple so that even the author can understand them. The first one is t…
math.MG2009
A combinatorial approach to coarse geometry
M. Cencelj, J. Dydak, A. Vavpeti\v\{c} +1
Using ideas from shape theory we embed the coarse category of metric spaces into the category of direct sequences of simplicial complexes with bonding maps being simplicial. Two di…
math.GT2008
Covering maps for locally path-connected spaces
N. Brodskiy, J. Dydak, B. Labuz +1
We define Peano covering maps and prove basic properties analogous to classical covers. Their domain is always locally path-connected but the range may be an arbitrary topological…