ON SOME KINDS OF FUZZY CONNECTED SPACES 1. Introduction
... and Bassam. We get some additional results and properties for these spaces. Among the results we prove that the local fuzzy connectedness is a good extension of local connectedness. Theorem 3.1. A topological space (X, τ ) is locally connected if and only if (X, ω(τ )) is locally connected (where ω( ...
... and Bassam. We get some additional results and properties for these spaces. Among the results we prove that the local fuzzy connectedness is a good extension of local connectedness. Theorem 3.1. A topological space (X, τ ) is locally connected if and only if (X, ω(τ )) is locally connected (where ω( ...
RELATIVE RIEMANN-ZARISKI SPACES 1. Introduction Let k be an
... Zariski showed that this topological space, which is now called a RiemannZariski (or Zariski-Riemann) space, possesses the following set-theoretic description: to give a point x ∈ RZK is the same as to give a valuation ring Ox with fraction field K, such that k ⊂ Ox . The Riemann-Zariski space posse ...
... Zariski showed that this topological space, which is now called a RiemannZariski (or Zariski-Riemann) space, possesses the following set-theoretic description: to give a point x ∈ RZK is the same as to give a valuation ring Ox with fraction field K, such that k ⊂ Ox . The Riemann-Zariski space posse ...
Vector Bundles And F Theory
... to the simply-laced case by embedding G in a suitable simply-laced group. (3) For E6 , E7 , E8 , and certain subgroups, Looijenga’s theorem can be proved by relating G bundles to del Pezzo surfaces. This approach, which we will explore in section 4, is perhaps closest to Looijenga’s original approa ...
... to the simply-laced case by embedding G in a suitable simply-laced group. (3) For E6 , E7 , E8 , and certain subgroups, Looijenga’s theorem can be proved by relating G bundles to del Pezzo surfaces. This approach, which we will explore in section 4, is perhaps closest to Looijenga’s original approa ...
On supra λ-open set in bitopological space
... The closure and interior of asset A in (X,T) denoted by int(A), cl(A)respectively .A subset A is said to be α-set if A⊆int(cl(int(A))).a sub collection Ω⊂2x is called supra topological space [4 ] , the element of Ω are said to be supra open set in (X,Ω) and the complement of a supra open set is call ...
... The closure and interior of asset A in (X,T) denoted by int(A), cl(A)respectively .A subset A is said to be α-set if A⊆int(cl(int(A))).a sub collection Ω⊂2x is called supra topological space [4 ] , the element of Ω are said to be supra open set in (X,Ω) and the complement of a supra open set is call ...
A CROSS SECTION THEOREM AND AN APPLICATION TO C
... Example 8. There is a Borel subset B of J x J such that each vertical section of B is an F„ subset of J, the projection tt onto the first axis, restricted to B, is open, tt(B) = J, and yet there is no Borel cross section (in this case, there is no Borel uniformization). Recall that if F is a subset ...
... Example 8. There is a Borel subset B of J x J such that each vertical section of B is an F„ subset of J, the projection tt onto the first axis, restricted to B, is open, tt(B) = J, and yet there is no Borel cross section (in this case, there is no Borel uniformization). Recall that if F is a subset ...
CROSSED PRODUCT STRUCTURES ASSOCIATED WITH
... under the condition that the action is free, that the associated crossed product is a factor if and only if the action is ergodic, and furthermore gives precise conditions on the measure-theoretic side under which it is a factor of certain types. Another well-known result is the theorem of Krieger ( ...
... under the condition that the action is free, that the associated crossed product is a factor if and only if the action is ergodic, and furthermore gives precise conditions on the measure-theoretic side under which it is a factor of certain types. Another well-known result is the theorem of Krieger ( ...
FUZZY PSEUDOTOPOLOGICAL HYPERGROUPOIDS 1
... As the hyperoperation ”·” is a mapping from H × H to P ∗ (H) giving topologies on H and P ∗ (H) we can speak about the continuity of ”·”. Unfortunately, if a topology is given on H, there is no standard straightforward way of generating a topology on P ∗ (H). This leads to the following definition. ...
... As the hyperoperation ”·” is a mapping from H × H to P ∗ (H) giving topologies on H and P ∗ (H) we can speak about the continuity of ”·”. Unfortunately, if a topology is given on H, there is no standard straightforward way of generating a topology on P ∗ (H). This leads to the following definition. ...
Covering space
In mathematics, more specifically algebraic topology, a covering map (also covering projection) is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p (as shown in the image); the precise definition is given below. In this case, C is called a covering space and X the base space of the covering projection. The definition implies that every covering map is a local homeomorphism.Covering spaces play an important role in homotopy theory, harmonic analysis, Riemannian geometry and differential topology. In Riemannian geometry for example, ramification is a generalization of the notion of covering maps. Covering spaces are also deeply intertwined with the study of homotopy groups and, in particular, the fundamental group. An important application comes from the result that, if X is a ""sufficiently good"" topological space, there is a bijection between the collection of all isomorphism classes of connected coverings of X and the conjugacy classes of subgroups of the fundamental group of X.