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On codimension one embedding of simplicial complexes
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.). KTH, Superseded Departments (pre-2005), Mathematics.ORCID iD: 0000-0002-7497-2764
2017 (English)In: A Journey through Discrete Mathematics: A Tribute to Jiri Matousek, Springer International Publishing , 2017, p. 207-219Chapter in book (Other academic)
Abstract [en]

We study d-dimensional simplicial complexes that are PL embeddable in Rd+1. It is shown that such a complex must satisfy a certain homological condition. The existence of this obstruction allows us to provide a systematic approach to deriving upper bounds for the number of top-dimensional faces of such complexes, particularly in low dimensions.

Place, publisher, year, edition, pages
Springer International Publishing , 2017. p. 207-219
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-227838DOI: 10.1007/978-3-319-44479-6_9Scopus ID: 2-s2.0-85042427114ISBN: 9783319444796 ISBN: 9783319444789 OAI: oai:DiVA.org:kth-227838DiVA, id: diva2:1205731
Note

QC 20180515

Available from: 2018-05-15 Created: 2018-05-15 Last updated: 2018-05-15Bibliographically approved

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Björner, Anders

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