Remarks on Smooth Real-Compactness for Sikorski Spaces

It is known that every Sikorski space with the countably generated differential structure is smoothly real-compact. It means that every homomorphism from its differential structure, which forms a ring of smooth real-valued functions into the ring of real numbers, is an evaluation. This result is sha...

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Bibliographic Details
Main Authors: Cukrowski Michał J., Stronkowski Michał M.
Format: Article
Language:English
Published: De Gruyter 2014-06-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2014.47.issue-2/dema-2014-0037/dema-2014-0037.xml?format=INT