{"degree_awarded":"PhD","status":"public","_id":"8156","alternative_title":["ISTA Thesis"],"type":"dissertation","day":"24","oa_version":"Published Version","oa":1,"author":[{"last_name":"Avvakumov","first_name":"Sergey","full_name":"Avvakumov, Sergey","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"No","date_published":"2020-07-24T00:00:00Z","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."}],"publication_identifier":{"issn":["2663-337X"]},"date_updated":"2023-12-18T10:51:01Z","doi":"10.15479/AT:ISTA:8156","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","department":[{"_id":"UlWa"}],"related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"8182"},{"id":"8183","status":"public","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","id":"8185","status":"public"},{"relation":"part_of_dissertation","status":"public","id":"8184"},{"status":"public","id":"6355","relation":"part_of_dissertation"},{"id":"75","status":"public","relation":"part_of_dissertation"}]},"year":"2020","file_date_updated":"2020-07-27T12:46:53Z","citation":{"short":"S. Avvakumov, Topological Methods in Geometry and Discrete Mathematics, Institute of Science and Technology Austria, 2020.","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>","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>.","ieee":"S. Avvakumov, “Topological methods in geometry and discrete mathematics,” Institute of Science and Technology Austria, 2020.","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>.","ista":"Avvakumov S. 2020. Topological methods in geometry and discrete mathematics. Institute of Science and Technology Austria."},"publication_status":"published","month":"07","language":[{"iso":"eng"}],"publisher":"Institute of Science and Technology Austria","has_accepted_license":"1","page":"119","date_created":"2020-07-23T09:51:29Z","supervisor":[{"orcid":"0000-0002-1494-0568","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","last_name":"Wagner","full_name":"Wagner, Uli","first_name":"Uli"}],"title":"Topological methods in geometry and discrete mathematics","ddc":["514"],"file":[{"relation":"source_file","file_name":"source.zip","creator":"savvakum","content_type":"application/zip","file_id":"8178","file_size":1061740,"date_updated":"2020-07-27T12:44:51Z","access_level":"closed","date_created":"2020-07-27T12:44:51Z"},{"file_name":"thesis_pdfa.pdf","creator":"savvakum","success":1,"relation":"main_file","access_level":"open_access","date_created":"2020-07-27T12:46:53Z","date_updated":"2020-07-27T12:46:53Z","file_id":"8179","file_size":1336501,"content_type":"application/pdf"}]}