Displaying similar documents to “First order topology”

Proximities compatible with a given topology

Terrence E. Dooher, W. J. Thron

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CONTENTSI. Introduction............................................................................................................................................... 5II. Abstract lattices...................................................................................................................................... 7III. Completely regular lattices................................................................................................................. 9IV. Alternate characterizations...

Compact pospaces

Venu G. Menon (2003)

Commentationes Mathematicae Universitatis Carolinae

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Posets with property DINT which are compact pospaces with respect to the interval topologies are characterized.

On M-operators of q-lattices

Radomír Halaš (2002)

Discussiones Mathematicae - General Algebra and Applications

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It is well known that every complete lattice can be considered as a complete lattice of closed sets with respect to appropriate closure operator. The theory of q-lattices as a natural generalization of lattices gives rise to a question whether a similar statement is true in the case of q-lattices. In the paper the so-called M-operators are introduced and it is shown that complete q-lattices are q-lattices of closed sets with respect to M-operators.

Generalized Alexandroff Duplicates and CD 0(K) spaces

Mert Çaglar, Zafer Ercan, Faruk Polat (2006)

Open Mathematics

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We define and investigateCD Σ,Γ(K, E)-type spaces, which generalizeCD 0-type Banach lattices introduced in [1]. We state that the space CD Σ,Γ(K, E) can be represented as the space of E-valued continuous functions on the generalized Alexandroff Duplicate of K. As a corollary we obtain the main result of [6, 8].

Semimodularity in lower continuous strongly dually atomic lattices

Andrzej Walendziak (1996)

Archivum Mathematicum

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For lattices of finite length there are many characterizations of semimodularity (see, for instance, Grätzer [3] and Stern [6]–[8]). The present paper deals with some conditions characterizing semimodularity in lower continuous strongly dually atomic lattices. We give here a generalization of results of paper [7].