this paper (free) - International Journal of Pure and
... in B for each α ∈ ∆, but A is µ− semi compact relative B, so there exists a finite subset ∆0 of ∆ such that A ⊆ ∪{Sα ∩ B : α ∈ ∆0 } ⊆ ∪{Sα : α ∈ ∆0 }. Hence A is µ− semi compact relative to X. Corollary 2.10. A subset A of a generalized topological space X is µ− semi compact (resp. µ− semi Lindelöf ...
... in B for each α ∈ ∆, but A is µ− semi compact relative B, so there exists a finite subset ∆0 of ∆ such that A ⊆ ∪{Sα ∩ B : α ∈ ∆0 } ⊆ ∪{Sα : α ∈ ∆0 }. Hence A is µ− semi compact relative to X. Corollary 2.10. A subset A of a generalized topological space X is µ− semi compact (resp. µ− semi Lindelöf ...
International Journal of Pure and Applied Mathematics
... In this section we define the fuzzy countable compact by used the finite open cover in the sense of Lowen.and it is proved that induced fuzzy topological space (X, ω(τ )) is fuzzy countable compact and fuzzy paracompact if and only if it is fuzzy compact in the sense of Lowen. This new concept with ...
... In this section we define the fuzzy countable compact by used the finite open cover in the sense of Lowen.and it is proved that induced fuzzy topological space (X, ω(τ )) is fuzzy countable compact and fuzzy paracompact if and only if it is fuzzy compact in the sense of Lowen. This new concept with ...
Polygons - mathmastermindgeometry
... intersect are the vertices. A polygon has the same number of sides as it has vertices. The angles of a polygon are the interior angles between adjacent sides. If two sides have a common endpoint, they are said to be consecutive. The endpoints of one side are consecutive vertices. If a segment joins ...
... intersect are the vertices. A polygon has the same number of sides as it has vertices. The angles of a polygon are the interior angles between adjacent sides. If two sides have a common endpoint, they are said to be consecutive. The endpoints of one side are consecutive vertices. If a segment joins ...
Research Article Strongly Generalized closed sets in Ideal
... research in General topology. A generalized closed set in topological space was introduced by Levine (1967) in 1970. The notion of ideal topological spaces was studied by Kurotowski (1933) and Vaidyanathaswamy (1945). Jafari and Rajesh introduced Ig-closed set with respect to an Ideal and Basari Kod ...
... research in General topology. A generalized closed set in topological space was introduced by Levine (1967) in 1970. The notion of ideal topological spaces was studied by Kurotowski (1933) and Vaidyanathaswamy (1945). Jafari and Rajesh introduced Ig-closed set with respect to an Ideal and Basari Kod ...
EXISTENCE AND PROPERTIES OF GEOMETRIC QUOTIENTS
... (Theorem 3.16). We also settle Kollár’s conjecture [Kol97, Rmk. 2.20] that geometric quotients are categorical among locally separated algebraic spaces. We then proceed to show the existence of quotients of separated algebraic spaces by finite groups. Important to us is that we obtain an explicit e ...
... (Theorem 3.16). We also settle Kollár’s conjecture [Kol97, Rmk. 2.20] that geometric quotients are categorical among locally separated algebraic spaces. We then proceed to show the existence of quotients of separated algebraic spaces by finite groups. Important to us is that we obtain an explicit e ...
Elementary Topology Problem Textbook O. Ya. Viro, O. A. Ivanov, N
... about mysterious and attractive things such as the Klein bottle,1 though the Klein bottle will appear in its turn. However, we start with what a topological space is, that is, we start with general topology. General topology became a part of the general mathematical language a long time ago. It teac ...
... about mysterious and attractive things such as the Klein bottle,1 though the Klein bottle will appear in its turn. However, we start with what a topological space is, that is, we start with general topology. General topology became a part of the general mathematical language a long time ago. It teac ...
