Group Structures and Rectifiability in Powers of Spaces
G. J. Ridderbos
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007), p. 357-363 / Harvested from The Polish Digital Mathematics Library
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We prove that if some power of a space X is rectifiable, then Xπw(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.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:281186 
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G. J. Ridderbos. Group Structures and Rectifiability in Powers of Spaces. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) pp. 357-363. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba55-4-7/