Ideals and the associated filters on topological spaces

Ideals and the associated filters on topological spaces

  • Shyamapada Modak University of Gour Banga
  • Sk Selim University of Gour Banga
  • Takashi Noiri

Abstract

Let (X, \tau) be a topological space. For a proper ideal I on (X, \tau), we define the associated lter FI as follows: F_I = \{A\subseteq  X :  X\setminus A \in  I \}. We investigate several properties of F_I and show that any points of sets \psi(A) and  \veebar(A), dened by the local function, are not limit points of F_I .

Published
2019-12-25
How to Cite
MODAK, Shyamapada; SELIM, Sk; NOIRI, Takashi. Ideals and the associated filters on topological spaces. Eurasian Bulletin of Mathematics (ISSN: 2687-5632), [S.l.], v. 2, n. 3, p. 80-85, dec. 2019. ISSN 2687-5632. Available at: <http://www.ebmmath.com/index.php/EBM/article/view/41>. Date accessed: 10 apr. 2020.