Related papers: A remark on $\beta$-locally closed sets
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The aim of this note is to prove that the set of proper normal subgroups of a group endowed with coarse lower topology is a spectral space.
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In this paper we study the topology of a set naturally arising from the study of $\beta$-expansions. After proving several elementary results for this set we study the case when our base is Pisot. In this case we give necessary and…