Springer Nature
Boletin de la Sociedad Matematica Mexicana
,  volume 30 ,  issue 3 ,  publication number 94

Finitely many implies infinitely many

Publication type: Journal Article
Publication date: 2024-09-18
Springer Nature
scimago Q2
wos Q2
SJR: 0.414
CiteScore: 1.4
Impact factor: 0.8
ISSN: 00378615, 1405213X, 22964495
Abstract
Many mathematical statements have the following form. If something is true for all finite subsets of an infinite set I, then it is true for all of I. This paper describes some old and new results on infinite sets of linear and polynomial equations with the property that solutions for all finite subsets of the set of equations imply the existence of a solution for the infinite set of equations.
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Nathanson M. B. Finitely many implies infinitely many // Boletin de la Sociedad Matematica Mexicana. 2024. Vol. 30. No. 3. 94
GOST all authors (up to 50) Copy
Nathanson M. B. Finitely many implies infinitely many // Boletin de la Sociedad Matematica Mexicana. 2024. Vol. 30. No. 3. 94
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RIS Copy
TY - JOUR
DO - 10.1007/s40590-024-00666-9
UR - https://link.springer.com/10.1007/s40590-024-00666-9
TI - Finitely many implies infinitely many
T2 - Boletin de la Sociedad Matematica Mexicana
AU - Nathanson, Melvyn B.
PY - 2024
DA - 2024/09/18
PB - Springer Nature
IS - 3
VL - 30
SN - 0037-8615
SN - 1405-213X
SN - 2296-4495
ER -
BibTex
Cite this
BibTex (up to 50 authors) Copy
@article{2024_Nathanson,
author = {Melvyn B. Nathanson},
title = {Finitely many implies infinitely many},
journal = {Boletin de la Sociedad Matematica Mexicana},
year = {2024},
volume = {30},
publisher = {Springer Nature},
month = {sep},
url = {https://link.springer.com/10.1007/s40590-024-00666-9},
number = {3},
pages = {94},
doi = {10.1007/s40590-024-00666-9}
}