Realcompact space | Wikipedia audio article
Channel: wikipedia tts
Date: 28/03/2019

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Realcompact_space


00:00:39 Properties
00:02:26 See also



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SUMMARY
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In mathematics, in the field of topology, a topological space is said to be realcompact if it is completely regular Hausdorff and every point of its Stone–Čech compactification is real (meaning that the quotient field at that point of the ring of real functions is the reals). Realcompact spaces have also been called Q-spaces, saturated spaces, functionally complete spaces, real-complete spaces, replete spaces and Hewitt-Nachbin spaces (named after Edwin Hewitt and Leopoldo Nachbin).  Realcompact spaces were introduced by Hewitt (1948).