On compact subsets of the plane
General Topology
2024-01-29 v1
Abstract
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.
Cite
@article{arxiv.2401.14985,
title = {On compact subsets of the plane},
author = {Gerald Kuba},
journal= {arXiv preprint arXiv:2401.14985},
year = {2024}
}