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BIMSA Topology Seminar
The $\Delta$-Twisted Homology and Fiber Bundle Structure of The Twisted Simplicial Sets
The $\Delta$-Twisted Homology and Fiber Bundle Structure of The Twisted Simplicial Sets
Organizers
Speaker
Time
Monday, December 11, 2023 2:30 PM - 3:30 PM
Venue
A3-4-101
Online
Zoom 230 432 7880
(BIMSA)
Abstract
In this talk, I will firstly review some kinds of homology such as weighted homology, $\delta$-homology, $\delta$-twisted homology. Then we define a $\Delta$-twisted homology on simplicial set, which can unify above homologies. Moreover, inspired by the classical twisted Cartesian product introduced by Barratte, Gugenheim, Moore, we also explore the fiber bundle structure on $\Delta$-twisted simplicial sets.