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SOME BANACH ALGEBRAS OF GLOBAL DIMENSION TWO

Published online by Cambridge University Press:  12 December 2005

S. B. TABALDYEV
S. B. TABALDYEV
Affiliation:
Department of Mathematical Analysis, Moscow State Institute of Electronics and Mathematics (MIEM), B. Triehsvyatitelskii per. 3/12, Moscow 109028, Russia, seytek@newmail.ru
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Abstract

It is shown that if Ω is an infinite, metrizable, compact space such that some finite order iterated derived set of Ω is empty, then $\dg C(\om)=\db C(\om)=2$.

Keywords

46M20 (primary)46J10 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 6 , December 2005 , pp. 927 - 932
Copyright
© The London Mathematical Society 2005

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Footnotes

This paper was partially supported by the RFBR grant no. 05-01-00982.