6 citations · 17 across the 13 of their papers we have counts for
6 papers · 1 filter
Decidability of the extension problem for maps into odd-dimensional spheres
Lukáš Vokřínek
In a recent paper, it was shown that the problem of existence of a continuous map extending a given map defined on a subspace is undecidable, ev…
Computing the abelian heap of unpointed stable homotopy classes of maps
Lukáš Vokřínek
An algorithmic computation of the set of unpointed stable homotopy classes of equivariant fibrewise maps was described in a recent paper of the author and his collaborators. In the…
Heaps and unpointed stable homotopy theory
Lukáš Vokřínek
In this paper, we show how certain ``stability phenomena'' in unpointed model categories provide the sets of homotopy classes with the structure of abelian heaps, i.e. abelian grou…
Constructing homotopy equivalences of chain complexes of free ZG-modules
Lukáš Vokřínek
We describe a general method for algorithmic construction of G-equivariant chain homotopy equivalences from non-equivariant ones. As a consequence, we obtain an algorithm for compu…
Fibrations up to an equivalence, homotopy colimits and pullbacks
Lukáš Vokřínek
We gather conditions on a class H of continuous maps of topological spaces that allow a reasonable theory of fibrations up to an equivalence (a map from this class) which we call H…
A generalization of Vassiliev's h-principle
Lukáš Vokřínek
This thesis consists of two parts which share only a slight overlap. The first part is concerned with the study of ideals in the ring of smooth functions on a compa…