Group Structures and Rectifiability in Powers of Spaces

• Autorzy: G. J. Ridderbos
• Języki publikacji: EN

Abstrakty

EN

We prove that if some power of a space X is rectifiable, then $X^{πw(X)}$ is rectifiable. It follows that no power of the Sorgenfrey line is a topological group and this answers a question of Arhangel'skiĭ. We also show that in Mal'tsev spaces of point-countable type, character and π-character coincide.

Kategorie tematyczne

• 54B10: Product spaces
• 54A25: Cardinality properties (cardinal functions and inequalities, discrete subsets)
• 54H11: Topological groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: 55
• Numer: 4
• Strony: 357-363

Daty

wydano

2007

Twórcy

autor

G. J. Ridderbos

• Faculty of Sciences, Division of Mathematics, Vrije Universiteit, De Boelelaan 1081 A, 1081 HV Amsterdam, the Netherlands

Identyfikatory

DOI

10.4064/ba55-4-7