Topological methods in geometry and discrete mathematics

Avvakumov, Sergey

Topological methods in geometry and discrete mathematics

Avvakumov S. 2020. Topological methods in geometry and discrete mathematics. Institute of Science and Technology Austria.

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DOI

10.15479/AT:ISTA:8156

Thesis | PhD | Published | English

Author

Avvakumov, Serhii^ISTA

Supervisor

Wagner, Uli^ISTA

Department

Wagner Group

Series Title

ISTA 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

2020

Date Published

2020-07-24

Page

119

ISSN

2663-337X

IST-REx-ID

8156

Cite this

Avvakumov S. Topological methods in geometry and discrete mathematics. 2020. doi:10.15479/AT:ISTA:8156

Avvakumov, S. (2020). Topological methods in geometry and discrete mathematics. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:8156

Avvakumov, Sergey. “Topological Methods in Geometry and Discrete Mathematics.” Institute of Science and Technology Austria, 2020. https://doi.org/10.15479/AT:ISTA:8156.

S. Avvakumov, “Topological methods in geometry and discrete mathematics,” Institute of Science and Technology Austria, 2020.

Avvakumov S. 2020. Topological methods in geometry and discrete mathematics. Institute of Science and Technology Austria.

Avvakumov, Sergey. Topological Methods in Geometry and Discrete Mathematics. Institute of Science and Technology Austria, 2020, doi:10.15479/AT:ISTA:8156.

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