Evgenii Reznichenko
Published 2022-07-03Version 1
Below, by space we mean a separable metrizable zero-dimensional space. It is studied when the space can be embedded in a Cantor set while maintaining the algebraic structure. Main results of the work: every space is an open retract of a Boolean precompact group; every strongly homogeneous space is rectifiable. In this case, the space can be embedded in the Cantor set with the preservation of the algebraic structure.
Countable dense homogeneity and the Cantor set
The set of space-filling curves: topological and algebraic structure
Finite compactifications of $ω^* \setminus \{x\}$
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