ℵ0‐categorical Banach spaces contain ℓp or c0. Issue 4 (15th November 2021)
- Record Type:
- Journal Article
- Title:
- ℵ0‐categorical Banach spaces contain ℓp or c0. Issue 4 (15th November 2021)
- Main Title:
- ℵ0‐categorical Banach spaces contain ℓp or c0
- Authors:
- Khanaki, Karim
- Abstract:
- Abstract: This paper has three parts. First, we establish some of the basic model theoretic facts about M T, the Tsirelson space of Figiel and Johnson [20]. Second, using the results of the first part, we give some facts about general Banach spaces. Third, we study model‐theoretic dividing lines in some Banach spaces and their theories. In particular, we show: (1) M T has the non independence property (NIP); (2) every Banach space that is ℵ0 ‐categorical up to small perturbations embeds c 0 or ℓ p ( 1 ⩽ p < ∞ ) almost isometrically; consequently the (continuous) first‐order theory of M T does not characterize M T, up to almost isometric isomorphism.
- Is Part Of:
- Mathematical logic quarterly. Volume 67:Issue 4(2021)
- Journal:
- Mathematical logic quarterly
- Issue:
- Volume 67:Issue 4(2021)
- Issue Display:
- Volume 67, Issue 4 (2021)
- Year:
- 2021
- Volume:
- 67
- Issue:
- 4
- Issue Sort Value:
- 2021-0067-0004-0000
- Page Start:
- 469
- Page End:
- 488
- Publication Date:
- 2021-11-15
- Subjects:
- Mathematics -- Periodicals
Logic, Symbolic and mathematical -- Periodicals
511.3 - Journal URLs:
- http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-3870 ↗
http://onlinelibrary.wiley.com/ ↗ - DOI:
- 10.1002/malq.201800086 ↗
- Languages:
- English
- ISSNs:
- 0942-5616
- Deposit Type:
- Legaldeposit
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- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 5402.430000
British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 20181.xml