Journal article
A universal exponent for homeomorphs
- Abstract:
- We prove a uniform bound on the topological Turán number of an arbitrary two-dimensional simplicial complex S: any two-dimensional complex on n vertices with at least CSn3−1/5 facets contains a homeomorph of S, where CS > 0 is a constant depending on S alone. This result, a two-dimensional analogue of a classical one-dimensonal result of Mader, sheds some light on an old problem of Linial from 2006.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
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(Preview, Accepted manuscript, 320.1KB, Terms of use)
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- Publisher copy:
- 10.1007/s11856-021-2156-7
Authors
- Publisher:
- Springer
- Journal:
- Israel Journal of Mathematics More from this journal
- Volume:
- 243
- Issue:
- 1
- Pages:
- 141–154
- Publication date:
- 2021-06-08
- Acceptance date:
- 2020-04-27
- DOI:
- EISSN:
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1565-8511
- ISSN:
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0021-2172
- Language:
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English
- Keywords:
- Pubs id:
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1099398
- Local pid:
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pubs:1099398
- Deposit date:
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2020-09-29
Terms of use
- Copyright holder:
- Hebrew University of Jerusalem
- Copyright date:
- 2021
- Rights statement:
- Copyright © 2021, The Hebrew University of Jerusalem.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Springer at: https://doi.org/10.1007/s11856-021-2156-7
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