Finiteness and choice
Fundamenta Mathematicae (2002)
- Volume: 173, Issue: 1, page 57-76
- ISSN: 0016-2736
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topOmar De la Cruz. "Finiteness and choice." Fundamenta Mathematicae 173.1 (2002): 57-76. <http://eudml.org/doc/283101>.
@article{OmarDelaCruz2002,
abstract = {We deal with weak choice principles of the form: Every "finite" family of non-empty sets has a choice function, where "finite" stands for one of several different definitions of finiteness that are not equivalent unless we assume the axiom of choice (AC). Several relations of implication and independence are established. In the process, we answer a few open questions about the relations between different definitions of finiteness.},
author = {Omar De la Cruz},
journal = {Fundamenta Mathematicae},
keywords = {weak choice principles; finiteness; axiom of choice},
language = {eng},
number = {1},
pages = {57-76},
title = {Finiteness and choice},
url = {http://eudml.org/doc/283101},
volume = {173},
year = {2002},
}
TY - JOUR
AU - Omar De la Cruz
TI - Finiteness and choice
JO - Fundamenta Mathematicae
PY - 2002
VL - 173
IS - 1
SP - 57
EP - 76
AB - We deal with weak choice principles of the form: Every "finite" family of non-empty sets has a choice function, where "finite" stands for one of several different definitions of finiteness that are not equivalent unless we assume the axiom of choice (AC). Several relations of implication and independence are established. In the process, we answer a few open questions about the relations between different definitions of finiteness.
LA - eng
KW - weak choice principles; finiteness; axiom of choice
UR - http://eudml.org/doc/283101
ER -
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