In this paper, we introduce the concept of strongly binary g^⋆-closed sets in topological space and investigate group structure set all

We show that if a real x ∈ 2 is Hausdorff H-random, where h is an order function, then it is also random for a continuous probability measure μ such that the μ-measure of the basic open cylinders shrinks according to h. We use this result to derive a characterization of effective Hausdorff dimension similar to Frostman’s Theorem.

"!# $ " ! &%(' )'* + , -" . 0/1 23 45 768 9-" :45 "!; ' <= > ? $6@ A B $C " C > D ' E )' F @ 9'# $6HG> . ( " I J' $ K L' :4 @GC K 7GC )68 $ 76M KN = O + " . "!"BP%L ;GC . 4 * '" Q ' R A 9 $ ! 0 ' S T . " , /J QG T $ K U ) ; $ V W X Y Z $ ) -> $ 0/[

We propose a new approach for semi-supervised learning using closed set lattices, which have been recently used for frequent pattern mining within the framework of the data analysis technique of Formal Concept Analysis (FCA). We present a learning algorithm, called SELF (SEmi-supervised Learning via FCA), which performs as a multiclass classifier and a label ranker for mixed-type data containin...

The aim of this paper is to introduce and study two new classes of functions called weakly $e^{*}$-open functions and weakly $e^{*}$-closed functions via the concept of $e^{*}$-open set defined by Ekici cite{erd1}. The notions of weakly $e^{*}$-open and weakly $e^{*}$-closed functions are weaker than the notions of weakly $beta$-open and weakly $beta$-closed functions defined by Caldas and Nava...