On the uniqueness of cellular injectives

J 2019

On the uniqueness of cellular injectives

ROSICKÝ, Jiří

Basic information

Original name

On the uniqueness of cellular injectives

Authors

ROSICKÝ, Jiří (203 Czech Republic, guarantor, belonging to the institution)

Edition

Mathematical Proceedings of the Cambridge Philosophical Society, NEW YORK, CAMBRIDGE UNIV PRESS, 2019, 0305-0041

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 0.741

RIV identification code

RIV/00216224:14310/19:00107699

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.1017/S0305004118000439

UT WoS

000493531500003

Keywords in English

locally presentable category; Boolean algebra; Banach space; cellular injective

Abstract

V originále

A. Aviles and C. Brech proved an intriguing result about the existence and uniqueness of certain injective Boolean algebras or Banach spaces. Their result refines the standard existence and uniqueness of saturated models. They express a wish to obtain a unified approach in the context of category theory. We provide this in the framework of weak factorization systems. Our basic tool is the fat small object argument.

Links

GBP201/12/G028, research and development project

Name: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku

Investor: Czech Science Foundation

Citovat

ROSICKÝ, Jiří. On the uniqueness of cellular injectives. Mathematical Proceedings of the Cambridge Philosophical Society. NEW YORK: CAMBRIDGE UNIV PRESS, 2019, vol. 167, No 3, p. 489-504. ISSN 0305-0041. Available from: https://dx.doi.org/10.1017/S0305004118000439.

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   author = {Rosický, Jiří},
   article_location = {NEW YORK},
   article_number = {3},
   doi = {http://dx.doi.org/10.1017/S0305004118000439},
   keywords = {locally presentable category; Boolean algebra; Banach space; cellular injective},
   language = {eng},
   issn = {0305-0041},
   journal = {Mathematical Proceedings of the Cambridge Philosophical Society},
   title = {On the uniqueness of cellular injectives},
   url = {https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/on-the-uniqueness-of-cellular-injectives/D775F957CBCA550679F10BCE31D6DA5E},
   volume = {167},
   year = {2019}
}

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JF  - Mathematical Proceedings of the Cambridge Philosophical Society
VL  - 167
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PB  - CAMBRIDGE UNIV PRESS
SN  - 03050041
KW  - locally presentable category
KW  - Boolean algebra
KW  - Banach space
KW  - cellular injective
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L2  - https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/on-the-uniqueness-of-cellular-injectives/D775F957CBCA550679F10BCE31D6DA5E
N2  - A. Aviles and C. Brech proved an intriguing result about the existence and uniqueness of certain injective Boolean algebras or Banach spaces. Their result refines the standard existence and uniqueness of saturated models. They express a wish to obtain a unified approach in the context of category theory. We provide this in the framework of weak factorization systems. Our basic tool is the fat small object argument.
ER  -

ROSICKÝ, Jiří. On the uniqueness of cellular injectives. \textit{Mathematical Proceedings of the Cambridge Philosophical Society}. NEW YORK: CAMBRIDGE UNIV PRESS, 2019, vol.~167, No~3, p.~489-504. ISSN~0305-0041. Available from: https://dx.doi.org/10.1017/S0305004118000439.

Detailed Information on Publication Record