Note on the question of Sikora

Результат исследования: Научные публикации в периодических изданияхстатья

Аннотация

A natural topology on the set of left orderings on free abelian groups and free groups (Formula presented.), (Formula presented.) has studied in [A. S. Sikora, Topology on the spaces of orderings of groups, Bull. London Math. Soc. 36(4) (2004) 519–526; L. Smith, On ordering free groups, J. Symbolic Comput. 40 (2005) 1285–1290, Corrigendum (with A. Clay) 44 (2009) 1529–1532]. It has been proven already that in the abelian case the resulted topological space is a Cantor set. There was a conjecture: this is also true for the free group (Formula presented.) with (Formula presented.) generators. We point out the paper dealing with equivalent questions.

Язык оригиналаанглийский
Номер статьи1840008
Число страниц2
ЖурналJournal of Knot Theory and its Ramifications
Том27
Номер выпуска3
DOI
СостояниеОпубликовано - мар 2018

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