On compact subsets of the plane

Gerald Kuba

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arXiv · 2401.14985

On compact subsets of the plane

Gerald Kuba

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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.

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Gerald Kuba. 2024-01-26. On compact subsets of the plane. https://arxiv.org/abs/2401.14985

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