[PDF] Top 20 Semicompactness in L topological spaces

... in L is called prime element if a ≥ b ∧ c implies that a ≥ b or a ≥ ...in L is called a coprime element if a is a prime element ...in L is denoted by P (L). The set of nonzero coprime elements ... See full document

... normed spaces by Kolk [], in locally convex Hausdorff topological spaces by Maddox [], in topological Hausdorff groups by Çakallı [] and in probabilistic normed space by Karakuş ...sequence ... See full document

... In this paper, some basic properties of 𝛼-level sets have been obtained. The 𝛼-Hausdorff axiom [10] and the local 𝛼-compactness of [7] have been modified. The 𝛼-connectedness has been proposed. It is proved that a fts (𝑋, ... See full document

... paper, spaces (X, ), (Y, ), and (Z, ) (or simply X, Y and Z) always mean topological spaces on which no separation axioms are assumed unless explicitly ... See full document

... Proof:Let f be strongly πgb-continuous and U be any πgb-open set in (Z,η).Thenf −1 (U) is open in (Y,σ). Then (fog) −1 (U)=g −1 (f −1 (U)) is πgb-open (X,τ). Since (X,τ) is a πgb-space, g −1 (f −1 (U)) is open in (X,τ). ... See full document

... of spaces and for constructing new spaces from previ- ously existing ...in Topological spaces and obtain some of their characterizations and properties are ... See full document

... The topological question of characterizing spectral spaces ...(i.e., topological spaces homeomorphic to the prime spectrum of a ring equipped with the Zariski topology) was completely answered ... See full document

... Proof: A set U is open in X* iff (a) U ∩ X is open in X and (b) whenever ∞ ∈ U, then X – U is compact. Consequently finite intersections and arbitrary unions of sets open in X* intersect X in open sets. If ∞ is a member ... See full document

... DOI: 10.4236/oalib.1104937 9 Open Access Library Journal larly open, there exist pre-open sets U in the topological field K containing λ 1 and V in E containing x such that U V ⋅ ⊆ Int A ( ) . Whence we get x V ∈ ... See full document

... The topological proof will utilize the ideas of complete metric spaces, Ascoli- Arzela theorem, topological properties in Euclidean n-space and normed linear spaces, and the extension [r] ... See full document

... a topological space and ᐀ a tiling such that FrT is locally connected for each tile T ∈ ᐀ and suppose that for every T ∈ ᐀ , every x ∈ FrT and every neighborhood U of x, the set (U −{x})∩FrT is ... See full document

... We consider two ‘base’ topological constraint languages. The language B features = as its only predicate, but has func- tion symbols +, −, · denoting the standard operations of fu- sion, complement and taking ... See full document

... and L = L ( ≤,, ,  ) will denote a fuzzy lattice, ... L). An L-fuzzy subset on X is a mapping  : X L, and the family of L-fuzzy subsets on X is denoted by L X ... See full document

... From this point on, unless otherwise stated, we will assume that our topological spaces are locally compact. In what follows, we will show that for any space X, ¯X n X is homeomorphic to St(L(X)). We ... See full document

... topology spaces, some topological spaces with illustrated examples are ...a topological space X depend upon the distribution of the open sets in the ...some topological space is more ... See full document

... of L is called union irreducible if and only if whenever a,b ∈ L with α ≤ a ∨ b, then α ≤ a or α ≤ ...of L will be denoted by M(L). It is obvious that p ∈ pr(L) if and only if p ∈ ... See full document

... known topological spaces such as compact spaces, H-closed spaces and various minimal topological ...certain topological property in the lattice of topologies LT(X) defined on a ... See full document

... paper, L is a fuzzy lattice, that is, a completely distributive lattice with an order-reversing involution on it, and with smallest element 0 and largest element 1 (0 = ...An L-set of X is a function with ... See full document

... of topological vector spaces is an important branch of modern ...the topological vector spaces in the setting of many val- ued ...vector spaces in [6] for the first time and introduced ... See full document

... The topological modifications of L-regular ...lattice L to carry a topology such that C(Y ,L) is an L-topology for every topological space Y ... See full document