78 citations · 176 across the 18 of their papers we have counts for
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Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces
Michał Lipiński, Jacek Kubica, Marian Mrozek +1
We generalize and extend the Conley-Morse-Forman theory for combinatorial multivector fields introduced in \cite{Mr2017}. The generalization consists in dropping the restrictive as…
Conley index approach to sampled dynamics
Bogdan Batko, Konstantin Mischaikow, Marian Mrozek +1
The topological method for the reconstruction of dynamics from time series [K. Mischaikow, M. Mrozek, J. Reiss, A. Szymczak. Construction of Symbolic Dynamics from Experimental Tim…
Lefschetz Complexes as Finite Topological Spaces
Jacek Kubica, Marian Mrozek
We consider a fixed basis of a finitely generated free chain complex as a finite topological space and we present a sufficient condition for the singular homology of this space to…