The Kirch space is topologically rigid
نویسندگان
چکیده
The Golomb space (resp. the Kirch space) is set N of positive integers endowed with topology generated by base consisting arithmetic progressions a+bN0={a+bn:n≥0} where a,b∈N and b a (square-free) number, coprime a. It known that connected (and locally connected). By recent result Banakh, Spirito Turek, has trivial homeomorphism group hence topologically rigid. In this paper we prove topological rigidity space.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2021
ISSN: ['1879-3207', '0166-8641']
DOI: https://doi.org/10.1016/j.topol.2021.107782