NDLI: Lattice completion of the metrizable topologies

Content Provider	Scilit
Author	Riecke, C. V.
Copyright Year	1974
Description	Several classes of topological spaces which are either the infimum or supremum of a family of metrizable topologies in the lattice of topologies were given by Anderson [1]. In this paper we investigate the completion of the set of metrizable topologies in four distinct convergence structure lattices on an infinite set. We also observe the influence on these completions of the question regarding the existence of nonnormal ultrafilters which Čech [3] asserted could be neither provednor disproved using present mathematical axiom systems.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D6734856146B932DBB087880F52CEAA4/S1446788700029128a.pdf/div-class-title-lattice-completion-of-the-metrizable-topologies-div.pdf
Ending Page	449
Page Count	3
Starting Page	447
ISSN	00049735
DOI	10.1017/s1446788700029128
Journal	Journal of the Australian Mathematical Society
Issue Number	4
Volume Number	18
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1974-12-01
Access Restriction	Open
Subject Keyword	Journal of the Australian Mathematical Society Metrizable Topologies
Content Type	Text
Resource Type	Article

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Lattice completion of the metrizable topologies