In:
Bulletin of the Australian Mathematical Society, Cambridge University Press (CUP), Vol. 21, No. 3 ( 1980-06), p. 407-417
Kurzfassung:
During the 1920's and 30's, two distinct theories of “completions” for topological spaces were being developed: the French school of mathematics was describing the familiar notion of “complete relative to a uniformity”, and the Russian school the less well-known idea of “absolutely closed”. The two agree precisely for compact spaces. The first part of this article describes these two notions of completeness; the remainder is a presentation of the interesting, but apparently unrecorded, fact that the two ideas coincide when put in the context of topological groups.
Materialart:
Online-Ressource
ISSN:
0004-9727
,
1755-1633
DOI:
10.1017/S0004972700006250
Sprache:
Englisch
Verlag:
Cambridge University Press (CUP)
Publikationsdatum:
1980
ZDB Id:
2268688-5
SSG:
17,1
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