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Using brouwer’s fixed point theorem
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-7497-2764
2017 (English)In: A Journey through Discrete Mathematics: A Tribute to Jiri Matousek, Springer International Publishing , 2017, p. 221-271Chapter in book (Other academic)
Abstract [en]

Brouwer’s fixed point theorem from 1911 is a basic result in topology- with a wealth of combinatorial and geometric consequences. In these lecture notes we present some of them, related to the game of HEX and to the piercing of multiple intervals. We also sketch stronger theorems, due to Oliver and others, and explain their applications to the fascinating (and still not fully solved) evasiveness problem. © Springer International Publishing AG 2017.

Place, publisher, year, edition, pages
Springer International Publishing , 2017. p. 221-271
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-227847DOI: 10.1007/978-3-319-44479-6_10Scopus ID: 2-s2.0-85042428228ISBN: 9783319444796 ISBN: 9783319444789 OAI: oai:DiVA.org:kth-227847DiVA, id: diva2:1205364
Note

QC 20180514

Available from: 2018-05-14 Created: 2018-05-14 Last updated: 2018-05-14Bibliographically approved

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Björner, Anders.

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