---
OA_place: publisher
_id: '8156'
abstract:
- lang: eng
  text: '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.'
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Sergey
  full_name: Avvakumov, Sergey
  id: 3827DAC8-F248-11E8-B48F-1D18A9856A87
  last_name: Avvakumov
  orcid: 0000-0002-7840-5062
citation:
  ama: Avvakumov S. Topological methods in geometry and discrete mathematics. 2020.
    doi:<a href="https://doi.org/10.15479/AT:ISTA:8156">10.15479/AT:ISTA:8156</a>
  apa: Avvakumov, S. (2020). <i>Topological methods in geometry and discrete mathematics</i>.
    Institute of Science and Technology Austria. <a href="https://doi.org/10.15479/AT:ISTA:8156">https://doi.org/10.15479/AT:ISTA:8156</a>
  chicago: Avvakumov, Sergey. “Topological Methods in Geometry and Discrete Mathematics.”
    Institute of Science and Technology Austria, 2020. <a href="https://doi.org/10.15479/AT:ISTA:8156">https://doi.org/10.15479/AT:ISTA:8156</a>.
  ieee: S. Avvakumov, “Topological methods in geometry and discrete mathematics,”
    Institute of Science and Technology Austria, 2020.
  ista: Avvakumov S. 2020. Topological methods in geometry and discrete mathematics.
    Institute of Science and Technology Austria.
  mla: Avvakumov, Sergey. <i>Topological Methods in Geometry and Discrete Mathematics</i>.
    Institute of Science and Technology Austria, 2020, doi:<a href="https://doi.org/10.15479/AT:ISTA:8156">10.15479/AT:ISTA:8156</a>.
  short: S. Avvakumov, Topological Methods in Geometry and Discrete Mathematics, Institute
    of Science and Technology Austria, 2020.
corr_author: '1'
date_created: 2020-07-23T09:51:29Z
date_published: 2020-07-24T00:00:00Z
date_updated: 2026-04-08T07:25:54Z
day: '24'
ddc:
- '514'
degree_awarded: PhD
department:
- _id: UlWa
doi: 10.15479/AT:ISTA:8156
file:
- access_level: closed
  content_type: application/zip
  creator: savvakum
  date_created: 2020-07-27T12:44:51Z
  date_updated: 2020-07-27T12:44:51Z
  file_id: '8178'
  file_name: source.zip
  file_size: 1061740
  relation: source_file
- access_level: open_access
  content_type: application/pdf
  creator: savvakum
  date_created: 2020-07-27T12:46:53Z
  date_updated: 2020-07-27T12:46:53Z
  file_id: '8179'
  file_name: thesis_pdfa.pdf
  file_size: 1336501
  relation: main_file
  success: 1
file_date_updated: 2020-07-27T12:46:53Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: '119'
publication_identifier:
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
  record:
  - id: '8182'
    relation: part_of_dissertation
    status: public
  - id: '8184'
    relation: part_of_dissertation
    status: public
  - id: '8185'
    relation: part_of_dissertation
    status: public
  - id: '6355'
    relation: part_of_dissertation
    status: public
  - id: '75'
    relation: part_of_dissertation
    status: public
  - id: '8183'
    relation: part_of_dissertation
    status: public
status: public
supervisor:
- first_name: Uli
  full_name: Wagner, Uli
  id: 36690CA2-F248-11E8-B48F-1D18A9856A87
  last_name: Wagner
  orcid: 0000-0002-1494-0568
title: Topological methods in geometry and discrete mathematics
type: dissertation
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
year: '2020'
...