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Sequential topological groups of any sequential order under CH. (English) Zbl 0935.54026

In an earlier paper [Proc. Am. Math. Soc. 124, No. 8, 2599-2607 (1996; Zbl 0865.54022)], the author showed that there exist sequential topological groups whose sequential order (s.o.) lies between 2 and \(\omega_1\). In the present paper, it is shown that every ordinal within this range occurs as the s.o. of some group.
Reviewer: P.Flor (Graz)

MSC:

54D55 Sequential spaces
54H11 Topological groups (topological aspects)

Citations:

Zbl 0865.54022
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