Topological methods in geometry and discrete mathematics
Avvakumov S. 2020. Topological methods in geometry and discrete mathematics. Institute of Science and Technology Austria.
Download
Thesis
| PhD
| Published
| English
Author
Supervisor
Department
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
Date Published
2020-07-24
Publisher
Institute of Science and Technology Austria
Page
119
ISSN
IST-REx-ID
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.
All files available under the following license(s):
Copyright Statement:
This Item is protected by copyright and/or related rights. [...]
Main File(s)
File Name
thesis_pdfa.pdf
1.34 MB
Access Level
Open Access
Date Uploaded
2020-07-27
Source File
File Name
source.zip
1.06 MB
Access Level
Closed Access
Date Uploaded
2020-07-27
Material in ISTA:
Part of this Dissertation
Part of this Dissertation
Part of this Dissertation
Part of this Dissertation
Part of this Dissertation
Part of this Dissertation
Google Scholar