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@article{1566116,
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}
}
TY - JOUR
ID - 1566116
AU - Rosický, Jiří
PY - 2019
TI - On the uniqueness of cellular injectives
JF - Mathematical Proceedings of the Cambridge Philosophical Society
VL - 167
IS - 3
SP - 489-504
EP - 489-504
PB - CAMBRIDGE UNIV PRESS
SN - 03050041
KW - locally presentable category
KW - Boolean algebra
KW - Banach space
KW - cellular injective
UR - https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/on-the-uniqueness-of-cellular-injectives/D775F957CBCA550679F10BCE31D6DA5E
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, roč.~167, č.~3, s.~489-504. ISSN~0305-0041. Dostupné z: https://dx.doi.org/10.1017/S0305004118000439.
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