Group structures and rectifiability in powers of spaces

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

Abstrakty

EN

We prove that if some power of a space X is rectiflable, then X[sup]πω(x) is rectifiable. It follows that no power of the Sorgenfrey line is a topological group and this answers a question of Arhangeliskiî. We also show that in Mal'tsev spaces of point-countable type, character and π-character coincide.

Słowa kluczowe

PL

grupa topologiczna; prostowalność; przestrzeń Mal'tsewa; iloczyn

EN

topological group; rectifiable; Mal'tsev space; products

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: Vol. 55, no 4
• Strony: 357-363
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Ridderbos, G. J.

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

Bibliografia

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