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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2014-06-01
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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 |