Topological methods in geometry and discrete mathematics

S. Avvakumov, Topological Methods in Geometry and Discrete Mathematics, IST Austria, 2020.

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Thesis | Published | English
Department
Series Title
IST Austria Thesis
Abstract
We present solutions to several problems originating from geometry and discrete mathematics: existence of equipartitions, maps without Tverberg multiple points, and inscribing quadrilaterals. Equivariant obstruction theory is the natural topological approach to these type of questions. However, for the specific problems we consider it had yielded only partial or no results. We get our results by complementing equivariant obstruction theory with other techniques from topology and geometry.
Publishing Year
Date Published
2020-07-24
Page
119
IST-REx-ID

Cite this

Avvakumov S. Topological Methods in Geometry and Discrete Mathematics. IST Austria; 2020. doi:10.15479/AT:ISTA:8156
Avvakumov, S. (2020). Topological methods in geometry and discrete mathematics. IST Austria. https://doi.org/10.15479/AT:ISTA:8156
Avvakumov, Sergey. Topological Methods in Geometry and Discrete Mathematics. IST Austria, 2020. https://doi.org/10.15479/AT:ISTA:8156.
S. Avvakumov, Topological methods in geometry and discrete mathematics. IST Austria, 2020.
Avvakumov S. 2020. Topological methods in geometry and discrete mathematics, IST Austria, 119p.
Avvakumov, Sergey. Topological Methods in Geometry and Discrete Mathematics. IST Austria, 2020, doi:10.15479/AT:ISTA:8156.
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