Cellular objects and Shelah's singular compactness theorem

BEKE, Tibor and Jiří ROSICKÝ. Cellular objects and Shelah's singular compactness theorem. Journal of Pure and Applied Algebra. vol. 220, No 5, p. 1813-1836. ISSN 0022-4049. doi:10.1016/j.jpaa.2015.10.003. 2016.

Basic information

• Original name: Cellular objects and Shelah's singular compactness theorem
• Name in Czech: Buněčné objekty a Shelahova věta o singulární kompaktnosti
• Authors: BEKE, Tibor (348 Hungary) and Jiří ROSICKÝ (203 Czech Republic, guarantor, belonging to the institution).
• Edition: Journal of Pure and Applied Algebra, 2016, 0022-4049.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10101 Pure mathematics
• Country of publisher: Netherlands
• Confidentiality degree: is not subject to a state or trade secret
• Impact factor: Impact factor: 0.652
• RIV identification code: RIV/00216224:14310/16:00087761
• Organization unit: Faculty of Science
• Doi: http://dx.doi.org/10.1016/j.jpaa.2015.10.003
• UT WoS: 000368207200005
• Keywords (in Czech): dosažitelná kategorie; Shelahova věta o singulární kompaktnosti; buněčný morfismus
• Keywords in English: accessible category; Shelah's singular compactness theorem; cellular morphism
• Tags: AKR, rivok
• Tags: International impact, Reviewed

Abstract

We give a single, structural statement of singular compactness that covers all examples in the literature that we are aware of. A case of this formulation, singular compactness for cellular structures, is of special interest; it expresses a relative notion of freeness.

Abstract (in Czech)

Předkládáme jednotnou, strukturální formulaci singulární kompaktnosti, která pokrývá všechny nám známé výskyty. Speciální přiípad této formulace je pro buněčné struktury, kde dává odpovídající pojem volnosti.

Links

• GBP201/12/G028, research and development project: Name: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku

Investor: Czech Science Foundation