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math.AT2020
Kunneth Theorems for Vietoris-Rips Homology
Antonio Rieser, Alejandra Trujillo
We prove a Kunneth theorem for the Vietoris-Rips homology and cohomology of a semi-uniform space. We then interpret this result for graphs, where we show that the Kunneth theorem h…
math.GR2020
On the dimension of the mapping class groups of a non-orientable surface
Cristhian E. Hidber, Luis Jorge Sánchez Saldaña, Alejandra Trujillo-Negrete
Let be the mapping class group of a non-orientable closed surface. We prove that the proper cohomological dimension, the proper geometric dimension, and the virtual…