Presented By: Student Dynamics/Geometry/Topology Seminar - Department of Mathematics
Student Dyn/Geo/Top: The Nerve Lemma & Spectral Sequences
Urshita Pal
The Nerve Lemma is a useful tool that, under some hypotheses, lets one compute the homology of a space in terms of a simplicial complex built from an open cover of the space. In this talk we shall see the statement of this lemma, a proof glimpse by analyzing a certain double complex, and if time permits, a proof sketch via (a gentle introduction to) spectral sequences.
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