i-Open Sets and Separating Axioms Spaces

Some separation axioms via modified θ-open sets

ON PRE - I - OPEN SETS , SEMI - I - OPEN SETS AND b - I - OPEN SETS IN IDEAL TOPOLOGICAL SPACES 1

The aim of this paper is to investigate some properties of pre-I-open sets, semi-I-open sets and b-I-open sets in ideal topological spaces. Some relationships of pre-I-open sets, semi-I-open sets and b-I-open sets in ideal topological spaces are discussed. Moreover, decompositions of continuity are provided. 2000 Mathematics Subject Classification: 54A05, 54A10, 54C08, 54C10.

Minimally Separating Sets, Mediatrices, and Brillouin Spaces

Brillouin zones and their boundaries were studied in [16] because they play an important role in focal decomposition as first defined by Peixoto in [9] and in physics ([1] and [3]). In so-called Brillouin spaces, the boundaries of the Brillouin zones have certain regularity properties which imply that they consist of pieces of mediatrices (or equidistant sets). The purpose of this note is two-f...

On bD-Sets and Associated Separation Axioms

Higher Separation Axioms via Semi*-open sets

The purpose of this paper is to introduce new separation axioms semi*-regular, semi*-normal, s*regular, s**-normal using semi*-open sets and investigate their properties. We also study the relationships among themselves and with known axioms regular, normal, semi-regular and semi-normal. Mathematics Subject Classification 2010: 54D10, 54D15