| |
|
Tane Vergili
Connectedness and Lusternik-Schnirelmann categories of the spaces of persistence modules
view
print
|
|
| Published: |
May 29, 2020. |
| Keywords: |
Persistent homology, persistence modules, interleaving distance. |
| Subject: |
18A25, 54D99, 55N99, 55M30. |
|
|
Abstract
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.
|
|
| Acknowledgements
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
tane.vergili@ktu.edu.tr
|
|
