On compact subsets of the plane

Fuente: arXiv
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Autor principal: Kuba, Gerald
Formato: Preprint
Publicado: 2024
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author Kuba, Gerald
author_facet Kuba, Gerald
contents We construct a family F of compact and pathwise connected subsets of the Euclidean plane such that (i) the cardinality of F is that of the continuum (and hence extremely large) and (ii) if X,Y are distinct spaces in F then there never exists a topological embedding from X into Y.
format Preprint
id arxiv_https___arxiv_org_abs_2401_14985
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On compact subsets of the plane
Kuba, Gerald
General Topology
54B05, 54D30
We construct a family F of compact and pathwise connected subsets of the Euclidean plane such that (i) the cardinality of F is that of the continuum (and hence extremely large) and (ii) if X,Y are distinct spaces in F then there never exists a topological embedding from X into Y.
title On compact subsets of the plane
topic General Topology
54B05, 54D30
url https://arxiv.org/abs/2401.14985