New York Journal of Mathematics
Volume 26 (2020), 598-606


Tane Vergili

Connectedness and Lusternik-Schnirelmann categories of the spaces of persistence modules

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Published: May 29, 2020.
Keywords: Persistent homology, persistence modules, interleaving distance.
Subject: 18A25, 54D99, 55N99, 55M30.

The classes of various interval decomposable persistence modules in literature were analyzed, the sets were determined, and some topological characteristics that these sets gained through interleaving metric were studied. In this study, connectedness of these spaces and their Lusternik-Schnirelmann categories were considered.


The author would like to thank the anonymous referee for his/her helpful suggestions.

Author information

Tane Vergili:
Department of Mathematics
Karadeniz Technical University
Trabzon, TURKEY