A Borel chain condition of T(X)(Article)
- Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4, Canada
Abstract
We examine the Borel version of the σ-finite chain condition ofHorn and Tarski for a class of posets T(X) which have been used in the solutionof their well-known problem. More precisely, we show that the poset T(πQ) doesnot have the σ-finite chain condition witnessed by Borel pieces. More precisely,we define a condition on the topological spaces X under which the correspondingTodorcevic ordering T(X) does not have the σ-bounded chain condition witnessedby a countable Borel decomposition although it might satisfy the σ-finite chaincondition witnessed by a non Borel decomposition. © 2019, Akadémiai Kiadó, Budapest, Hungary.
Funding details
| Funding sponsor | Funding number | Acronym |
|---|---|---|
| Natural Sciences and Engineering Research Council of Canada See opportunities by NSERC | 455916 | NSERC |
| Natural Sciences and Engineering Research Council of Canada See opportunities by NSERC | NSERC |
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1
Partially supported by NSERC grant (455916).
- ISSN: 02365294
- Source Type: Journal
- Original language: English
- DOI: 10.1007/s10474-019-00977-8
- Document Type: Article
- Publisher: Springer Netherlands
Xiao, M.; Department of Mathematics, University of Toronto, Toronto, ON, Canada;
© Copyright 2020 Elsevier B.V., All rights reserved.
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(2023) Mathematics