An extension of semi-open sets with applications on spaces, functions
··· lezzter Preis 61.20 ··· 9783848493227 ··· 1036125471 ··· The aim of this work is to introduce and study a new class of set as an extension of semi-open sets in topological spaces called the Sw-open set. We use this set to define new types of continuous functions and new types of topological spaces.It is proved that every Sw-open set is dense and both the families SwO(X) and SO(X) coincide whenever the space X is hyperconnected. The topological spaces (X, ) and (X, ) have the same family of Sw-open sets.The concept of Sw-compactness is introduced and we prove that a space X is Sw-compact if and only if for every somewhat preopen cover of a space X there is a finite subcover under the condition that X is strongly irresolvable.Separation axioms are defined and characterized and it is proved that the space X is Sw-T2 whenever each point of X possesses an Sw-regular subset which is an Sw-T2 subspace in X. Hersteller: LAP Lambert Academic Publishing Marke: LAP Lambert Academic Publishing EAN: 9783848493227 Kat: Hardcover/Naturwissenschaften, Medizin, Informatik, Technik/Mathematik Lieferzeit: Print on Demand Versandkosten: Ab 20¤ Versandkostenfrei in Deutschland Icon: https://www.inforius-bilder.de/bild/?I=prHXT%2FBx5IkFpKYnfvhF5bxPhXNciUQAVRJyzpps%2BYM%3D Bild:
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