3 citations · 4 across the 4 of their papers we have counts for
5 papers
On measure homology of mildly wild spaces
Thilo Kuessner, Janusz Przewocki, Andreas Zastrow
We prove injectivity of the canonical map from singular homology to measure homology for certain ``mildly wild" spaces, that is, certain spaces not having the homotopy type of a CW…
Duality of averaging of quantum states over arbitrary symmetry groups revealing Schur-Weyl duality
Marcin Markiewicz, Janusz Przewocki
It is a well-established fact in quantum information theory, that uniform averaging over the collective action of a unitary group on a multipartite quantum state projects the state…
On construction of finite averaging sets for via its Cartan decomposition
Marcin Markiewicz, Janusz Przewocki
Averaging physical quantities over Lie groups appears in many contexts across the rapidly developing branches of physics like quantum information science or quantum optics. Such an…
Milnor-Thurston homology groups of the Warsaw Circle
Janusz Przewocki
Milnor-Thurston homology theory is a construction of homology theory that is based on measures. It is known that it is equivalent to singular homology theory in case of manifolds a…
On the coincidence of zeroth Milnor-Thurston homology with singular homology
Janusz Przewocki, Andreas Zastrow
In this paper we prove that the zeroth Milnor-Thurston homology group coincides with singular homology for Peano Continua. More- over, we show that the canonical homomorphism betwe…