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作者:Niels Schwartz
来源:[J].Applied Categorical Structures(IF 0.375), 2017, Vol.25 (6), pp.1159-1185
摘要:The category Spec of spectral spaces is a reflective subcategory of the category Top of topological spaces. We compare properties of topological spaces, or of continuous maps between topological spaces, with properties of their spectral reflections. It is shown that several class...
作者:Yu. L. Ershov
来源:[J].Algebra and Logic(IF 0.493), 2017, Vol.56 (2), pp.98-107
摘要:It is shown that for any ordinal α , there exists a T 0-space whose d -rank is equal to α .
作者:Nicolás Cianci , Miguel Ottina
来源:[J].Topology and its Applications(IF 0.562), 2019
摘要:Abstract(#br)We characterize the Hurewicz cofibrations between finite topological spaces, that is, the continuous functions between finite topological spaces that have the homotopy extension property with respect to all topological spaces. In particular, we show that cofibrations...
作者:Miroslav Hušek
来源:[J].Topology and its Applications(IF 0.562), 2004, Vol.152 (3), pp.301-309
摘要:Abstract(#br)The κ -productivity of classes C of topological spaces closed under quotients and disjoint sums is characterized by means of Cantor spaces. The smallest infinite cardinals κ such that such classes are not κ -productive are submeasurable cardinals. It follows that...
作者:Muhammad Shabir , Munazza Naz
来源:[J].Computers and Mathematics with Applications(IF 2.069), 2011, Vol.61 (7), pp.1786-1799
摘要:Abstract(#br)In the present paper we introduce soft topological spaces which are defined over an initial universe with a fixed set of parameters. The notions of soft open sets, soft closed sets, soft closure, soft interior points, soft neighborhood of a point and soft separation ...
作者:Jari Kortelainen
来源:[J].Fuzzy Sets and Systems(IF 1.749), 1997, Vol.89 (2), pp.267-273
摘要:... This type of modifiers induce topological spaces (see [7]) and we can say that L -fuzzy sets now induce topological spaces. We will show that all the level sets of an L -fuzzy set are open sets in the induced topology. We will also show that for any topology on a non-empty fi...
作者:Yueli Yue
来源:[J].Fuzzy Sets and Systems(IF 1.749), 2007, Vol.158 (13), pp.1461-1471
摘要:Abstract(#br)The aim of this paper is to study induced LM -fuzzy topological spaces. Firstly, we study the stratifications of LM -fuzzy topologies and show that S LM - FTOP —the category of stratified LM -fuzzy topological spaces—is a coreflective full subcategory of LM - F...
作者:Mustafa Demirci
来源:[J].Fuzzy Sets and Systems(IF 1.749), 2013, Vol.227, pp.1-24
摘要:Abstract(#br)It is shown in this paper that various approaches to fuzzy topological spaces can be extended to an abstract category C . In this respect, variety-based generalized topological spaces, variable-basis fuzzy topological spaces, fixed-basis fuzzy topological spaces...
作者:Jens Blanck
来源:[J].Theoretical Computer Science(IF 0.489), 2000, Vol.247 (1), pp.229-255
摘要:Abstract(#br)A domain representation of a topological space X is a function, usually a quotient map, from a subset of a domain onto X . Several different classes of domain representations are introduced and studied. It is investigated when it is possible to build domain represent...
作者:Mauro Patrão
来源:[J].Journal of Dynamics and Differential Equations(IF 0.863), 2006, Vol.19 (1), pp.181-198
摘要:This paper studies Morse decompositions of discrete and continuous-time semiflows on compact Hausdorff topological spaces. We extend two classical results which are well-known facts for flows on compact metric spaces: the characterization of the Morse decompositions through incre...

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