4 citations · 4 across the 5 of their papers we have counts for
4 papers · 1 filter
Configuration spaces and directed paths on the final precubical set
Jakub Paliga, Krzysztof Ziemiański
The main goal of this paper is to prove that the space of directed loops on the final precubical set is homotopy equivalent to the "total" configuration space of points on the plan…
Spaces of directed paths on pre-cubical sets II
Krzysztof Ziemiański
For a given pre-cubical set (--set) with two distinguished vertices $\bO$, $\bI$, we prove that the space $\vP(K)_\bO^\bI$ of d-paths on the geometric realization of $…
Paths of the directed suspension
Andrzej Weber, Krzysztof Ziemiański
We prove that the loop space of the directed suspension of a directed space is homotopy equivalent to the James construction. In particular, it does not depend on the directed stru…
Homotopy representations of the unitary groups
Wojciech Lubawski, Krzysztof Ziemiański
Let be a compact connected Lie group and let be complex vector bundles over the classifying space . The problem we consider is whether contains a subbundle which…