[PDF] Top 20 Topological sequence entropy of continuous maps on topological spaces

... same entropy and thus entropy is a numerical invariant of the class of conjugated dynamical ...of topological entropy [5, 15, 24]. Entropy and chaos are closely related, ...a ... See full document

... of continuous maps called fuzzy αrω- continuous maps in fuzzy topological spaces and studied some of their basic ...fuzzy topological spaces and studied some of ... See full document

... Several topologists have generalized homeomorphisms in topological spaces. Biswas[1], Crossley and Hilde- brand[2], Sundaram[13] have introduced and studied semi-homeomorphism and some what homeomorphism ... See full document

... Zadeh in [9] introduced the fundamental concept of fuzzy sets. Fuzzy topology was introduced by Chang [7]. The theory of fuzzy topological spaces was subsequently developed by several authors. The concept ... See full document

... Let X=Y={a,b,c}, = { ,X, {a},{a,c}}, Closed set = { ,X, {b,c},{b}} (r*g*)* closed set are of X are{ ,X, {a}{b}{a,b},{b,c},{a,c} }σ = { ,Y, {a}} Closed set = { ,Y, {b,c}} (r*g*)* closed sets of Y are { ,Y,{b},{a,b} ... See full document

... A topological space (X, ) is called a space if every gs-closed set is ...A topological space (X, ) is called a space if every gs-closed set is ...A topological space (X, ) is called a space if every ... See full document

... In 1963, N.Levine[9] introduced semi-open sets in Topology and studied their properties. Andrijevic[2] introduced one such new version called b-open sets in 1996. N.Levine[10] introduced the concept of generalized closed ... See full document

... Example 3.22 : Let X=Y=Z={a,b,c}, τ = {X, ϕ,{a},{b},{a,b}}, σ ={Y, ϕ,{a}, {c}, {a,c}}, ={Z, ϕ,{a},{a,b}, {a,c}} and a maps f : X→Y is defined as f(a)=b, f(b)=c, f(c)=a, and g : Y→Z is defined as g(a)=b, g(b)=a, ... See full document

... g#-semi- Continuous Maps in Fuzzy Topological Spaces, Presented a paper at the “IMS Conference Roorkey”, on December 26-30, 2005, organized by the Department of Mathematics, Roorkey ... See full document

... In topological space, some classes of sets namely generalized locally closed sets were introduced and investigated by Balachandran et ...in topological spaces was introduced by Gnanambal and ... See full document

... In [17] the categories TOP of topological spaces and continuous maps and pq-MET of extended pseudo-quasi-metric spaces and non-expansive maps were embedded in a common.. The idea behind [r] ... See full document

... supra topological spaces and studied S –continuous maps and S* - continuous ...of maps called sα-continuous between topological spaces, ...of maps ... See full document

... contra continuous like mappings in the papers (Caldas and Jafari [6]; Ekici [7, 8]; Nasef [9]; Al-Omari and Noorani [10]; El-Magbrabi ...-open maps in topological spaces are introduced by ... See full document

... a sequence space which is generated by an infinite matrix, the topology is most often induced by a ...paranormed sequence spaces, the topology of the dual space must be carefully chosen since the ... See full document

... Example 3.1.7[11] Let (X, τ) be a topological space such that X ={a, b, c}and τ={ϕ, {a}, X}.Then the set of all α-open sets is τ α ={ϕ, {a}, {a, b}, {a, c}, X}. Define f : X→X as follows f(a)=b, f(b)=b, f(c)=c. ... See full document

... Every topological space is a closure space, if we define the closure operator of the space as a function that takes any subset to its ...- continuous maps, Contrag - irresolute ... See full document

... identity maps. Then f and g are both sgp-closed maps but the composition gof: X  Z is not a sgp-closed function, since for the closed set {b} in X, (gof)({b}) = g(f({b}) = g({b}) = {b} is not sgp-closed ... See full document

... c},Y}. β* C (X,τ)={ϕ, {a} , {b} , {c} , {d},{a, b}, {a, c} ,{a, d}, {b, c} , {b, d},{c, d}, {a, b, d},{a, c, d} , {b, c, d} , X} g *C (X, τ) = {ϕ , {d} ,{a, d}, {b, d},{c, d},{a, b, c},{ {a, b, d} ,{a, c, d} , {b, c, d}, ... See full document

... Definition 2.1.[4] Let X be a nonempty set and , , are general topologies on X.Then a subset A of space X is said to be quad-open (q-open) set if and its complement is said to be q-closed and set X with four topologies ... See full document

... In this paper, we introduce a new class of sets, namely g ~ - preclosed sets in topological spaces and study their basic properties. We obtain many interesting results in topological spaces. ... See full document