Sheaves of Modules
... We work out what happens for sheaves of modules on ringed topoi in another chapter (see Modules on Sites, Section 1), although there we will mostly just duplicate the discussion from this chapter. 2. Pathology 01AE ...
... We work out what happens for sheaves of modules on ringed topoi in another chapter (see Modules on Sites, Section 1), although there we will mostly just duplicate the discussion from this chapter. 2. Pathology 01AE ...
AROUND EFFROS` THEOREM 1. Introduction. In 1965 when Effros
... 4. Effros' property. A mapping f: S ~ S' of a topological spaceS onto S' is said to be interior at a point s E S provided that for every open set V in S containing s, the point f(s) is an interior point of f(V) (see [51, p. 149]). Obviously f is open if and only if it is interior at each point of it ...
... 4. Effros' property. A mapping f: S ~ S' of a topological spaceS onto S' is said to be interior at a point s E S provided that for every open set V in S containing s, the point f(s) is an interior point of f(V) (see [51, p. 149]). Obviously f is open if and only if it is interior at each point of it ...
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... Variants of continuity arise naturally in almost all branches of mathematics and applications of mathematics. Certain of these variants of continuity are weaker than continuity while others are stronger than continuity and yet others, although in some cases their theories run parallel to continuity, ...
... Variants of continuity arise naturally in almost all branches of mathematics and applications of mathematics. Certain of these variants of continuity are weaker than continuity while others are stronger than continuity and yet others, although in some cases their theories run parallel to continuity, ...
Archivum Mathematicum
... functions. In 1985, D. A. Rose [26] and D. A. Rose with D. S. Janckovic [27] have defined the notions of weakly open and weakly closed functions in topology respectively. This paper is devoted to present the class of weakly preopen functions (resp. weakly preclosed functions) as a new generalization ...
... functions. In 1985, D. A. Rose [26] and D. A. Rose with D. S. Janckovic [27] have defined the notions of weakly open and weakly closed functions in topology respectively. This paper is devoted to present the class of weakly preopen functions (resp. weakly preclosed functions) as a new generalization ...
Algebraic models for higher categories
... in AlgC. Therefore we have to fix a filler F (h) : Bj → Q for each morphism h : Aj → Q. Since s is a section of π, the image of the morphism s ◦ h : Aj → Y under s is h. Thus we let F (h) be the image of the distinguished filler for s ◦ h. Then the following lemma shows that property 2 and thus prop ...
... in AlgC. Therefore we have to fix a filler F (h) : Bj → Q for each morphism h : Aj → Q. Since s is a section of π, the image of the morphism s ◦ h : Aj → Y under s is h. Thus we let F (h) be the image of the distinguished filler for s ◦ h. Then the following lemma shows that property 2 and thus prop ...