On the paracompactness of frames

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On the paracompactness of frames. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 3, pp. 485-491

MSC: 06B10, 06D99, 54D20, 54J05 | MR 1209290 | Zbl 0795.54033

Keywords:
paracompact; cover; envelope; congruence

Summary:
Through the study of frame congruences, new characterizations of the paracompactness of frames are obtained.

References:

[1] Banaschewski B.: Lectures on Frames. University of Cape Town, 1988 (unpublished manuscript).

[2] Chen X.: On the local connectedness of frames. J. Pure Appl. Algebra 79 (1992), 35-43. MR 1164120 | Zbl 0753.54008

[3] Dowker C.H., Papert D.: Paracompact frames and closed maps. Symp. Math. 16 (1975), 93-116. MR 0410663 | Zbl 0324.54015

[4] Johnstone P.T.: Stone Space. Cambridge University Press, 1982. MR 0698074

[5] Nagata J.: Modern General Topology. N.Y., Wiley, 1968. Zbl 0598.54001

[6] Pultr A., Úlehla J.: Notes on characterization of paracompact frames. Commentationes Math. Univ. Carolinae 30 (1989), 377-384. MR 1014137

[7] Sun Shu-Hao: On paracompact locales and metric locales. Commentationes Math. Univ. Carolinae 30 (1989), 101-107. MR 0995708

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