Compactification of Frames

DOI10.1002/mana.19901490107zbMath0722.54018OpenAlexW2008407294MaRDI QIDQ3209834

Bernhard Banaschewski

Publication date: 1990

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19901490107

zbMATH Keywords

framecompactifications of locales

Mathematics Subject Classification ID

Related Items (47)

Conditions under which the least compactification of a regular continuous frame is perfect ⋮ On the Dini and Stone-Weierstrass properties in pointfree topology. ⋮ An asymmetric approach to filters in strict extensions and quotients ⋮ Base and weight of Boolean \(\mathrm{I}\)-contact algebras ⋮ Generating sublocales by subsets and relations: a tangle of adjunctions ⋮ On the hull-kernel and inverse topologies as frames ⋮ De Vries algebras and compact regular frames ⋮ Presenting the frame of the unit circle. ⋮ Proximity biframes and Nachbin spaces ⋮ A pointfree theory of Pervin spaces ⋮ Subordinations on bounded distributive lattices ⋮ On the ideal of functions with compact support in pointfree function rings ⋮ On \(J\)-frames ⋮ Hull classes in compact regular frames ⋮ Notions of local compactness and smallest compactifications of biframes ⋮ Locatedness and overt sublocales ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(N\)-star compactifications of frames ⋮ Constructive metrisability in point-free topology. ⋮ CAUCHY POINTS OF UNIFORM AND NEARNESS FRAMES ⋮ Characterising certain compactifications of frames with special attention to Freudenthal ⋮ Characterizing realcompact locales via remainders ⋮ Completely regular proper reflection of locales over a given locale ⋮ Pointfree forms of Dowker's and Michael's insertion theorems ⋮ Remarks on the Stone-Čech and Alexandroff compactifications of locales ⋮ On strong inclusions and asymmetric proximities in frames ⋮ Cozero bases of frames ⋮ General insertion and extension theorems for localic real functions ⋮ A note on proper maps of locales ⋮ A bitopological point-free approach to compactifications ⋮ Proximity frames and regularization. ⋮ Unnamed Item ⋮ Tensor products of rings \(\mathfrak{Z}L\) of zero-dimensional frames ⋮ Perfectness of 2-star compactifications of frames ⋮ Remainders in pointfree topology ⋮ Compactification and local connectedness of frames ⋮ Weakly pseudocompact frames ⋮ Tightness relative to some (co)reflections in topology ⋮ Unnamed Item ⋮ Separated and prime compactifications ⋮ Unnamed Item ⋮ Perfect compactifications of frames ⋮ Constructive strong regularity and the extension property of a compactification ⋮ THE WALLMAN COMPACTIFICATION OF FRAMES ⋮ Modal operators on compact regular frames and de Vries algebras. ⋮ Paracompactness revisited

Cites Work

• Stone-Čech compactification of locales. II
• The point of pointless topology

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