Chen, Xueyou; Li, Quingguo; Deng, Zike(Universitat Politècnica de València, 2007-10-01)
[EN] In this paper, the notions of regular, completely regular, compact additive generalized algebraic lattices are introduced, and Stone compactification is constructed. The following theorem is also obtained.
Theorem: ...
Chen, Xueyou; Deng, Zike(Universitat Politècnica de València, 2007-10-01)
[EN] In this paper, with the additivity property, the generalized way-below relation and the maximal system of subsets as tools, we prove that all lower homomorphisms between two additive generalized algebraic lattices ...
Singh, D.(Universitat Politècnica de València, 2007-10-01)
[EN] Basic properties of cl-supercontinuity, a strong variant of continuity, due to Reilly and Vamanamurthy [Indian J. Pure Appl. Math., 14 (1983), 767–772], who call such maps clopen continuous, are studied. Sufficient ...
Protasov, Igor V.(Universitat Politècnica de València, 2007-10-01)
[EN] A ballean is a set X endowed with some family F of balls in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. Then we define the asymptotic counterparts for dense ...
Alas, Ofelia T.; Wilson, Richard G.(Universitat Politècnica de València, 2007-10-01)
[EN] We introduce a class of spaces in which every discretesubset has a complete accumulation point. Properties of this classare obtained and consistent examples are given to show that this classdiffers from the ...