Homeomorphisms between compact subsets of real numbers
classification
🧮 math.GN
math.LO
keywords
compactnumbersrealsetspropertiessubsetscountablediscuss
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We first present a reduction of properties of compact sets of real numbers to properties of countable orders. Then discuss a variant of homogeneity of compact subsets of real numbers, focusing on the family of $t$-sets. Finally, we prove that there are exactly $\omega_1$ many non-homeomorphic $t$-sets.
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