Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
| | Speaker: | Waclaw Marzantowicz, Adam Mickiewicz University of Poznan, Poland
| | Inviter: | | Title:
| Topological estimates of the number of vertices of minimal triangulations | Time & Venue:
| 2019.11.27 16:00-17:00 C410 | Abstract:
| The covering type of a space X is a numerical homotopy invariant that in some sense measures the homotopical size of X. It was first introduced by Karoubi and Weibel in 2017 as the minimal cardinality of a good cover of a space Y taken among all spaces Y that are homotopy equivalent to X. In this talk we present several estimates of the covering type in terms of other homotopy invariants of X, most notably the ranks of the homology groups of X, the multiplicative structure of the cohomology ring of X and the Lusternik-Schnirelmann category of X. | |
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