$WO$-CONTINUITY AND $WK$-CONTINUITY ON ASSOCIATED $w$-spaces
نویسندگان
چکیده
منابع مشابه
Quantales and Continuity Spaces
The theory of metric spaces provides an elementary introduction to topology and unies many branches of classical analysis. Using it, the intuitive notions of continuity, limit and Cauchy sequence can be developed in a very general setting. Moreover, since metric techniques are frequently much more powerful than topological ones, they make possible simpler and more elegant solutions to many prob...
متن کاملGRADATION OF CONTINUITY IN FUZZY TOPOLOGICAL SPACES
In this paper we introduce a definition of gradation of continuity ingraded fuzzy topological spaces and study its various characteristic properties.The impact of the grade of continuity of mappings over the N-compactnessgrade is examined. Concept of gradation is also introduced in openness, closed-ness, homeomorphic properties of mappings and T2 separation axiom. Effectof the grades interrelat...
متن کاملCompleteness in Continuity Spaces
1.3. De nition. ABSTRACT. We apply enriched category theory to study Cauchy completeness in continuity spaces. Our main result is the equivalence in continuity spaces of the category theoretic and the uniform notions of Cauchy completeness. This theorem, which generalizes a result of Lawvere for quasi-metric spaces, makes a natural connection between the category-theoretic and topological aspec...
متن کاملCoherence Spaces and Uniform Continuity
In this paper, we consider a model of classical linear logic based on coherence spaces endowed with a notion of totality. If we restrict ourselves to total objects, each coherence space can be regarded as a uniform space and each linear map as a uniformly continuous function. The linear exponential comonad then assigns to each uniform space X the finest uniform space !X compatible with X . By a...
متن کاملContinuity Spaces: Reconciling Domains and Metric Spaces
We use continuity spaces, a common refinement of posets and metric spaces, to develop a general theory of semantic domains which includes metric spaces and domains of cpo’s as special cases and provides the appropriate tools for producing new examples which may be suitable for modeling language constructs that occur in concurrent and probabilistic programming. Our proposal for a general notion ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Pure and Apllied Mathematics
سال: 2015
ISSN: 1311-8080,1314-3395
DOI: 10.12732/ijpam.v102i2.12