• Corpus ID: 238857169

On preserving continuity in ideal topological spaces

@inproceedings{Njamcul2021OnPC,
  title={On preserving continuity in ideal topological spaces},
  author={Anika Njamcul and Aleksandar Pavlovi'c},
  year={2021}
}
We present some sufficient conditions for continuity of the mapping f : 〈X, τ∗ X〉 → 〈Y, τ∗ Y 〉, where τ∗ X and τ ∗ Y are topologies induced by the local function on X and Y , resp. under the assumption that the mapping from 〈X, τX〉 to 〈Y, τY 〉 is continuous. Further, we consider open and closed functions in this matter, as we state the cases in which the open (or closed) mapping is being preserved through the ”idealisation” of both domain and codomain. Through several examples we illustrate… 

References

SHOWING 1-10 OF 23 REFERENCES
DECOMPOSITIONS OF CONTINUITY IN IDEAL TOPOLOGICAL SPACES
Abstract In this paper, we define new classes of sets called preopen sets, θI-semi-open sets, θI-β-open sets and θI-α-open sets in ideal topological spaces. Also, by using these sets, we obtain new
Regular Weakly Continuous Functions in Ideal Topological Spaces
In this paper, we study the concepts of  I rw -continuity in ideal  topological spaces, and obtain several characterizations and some properties of these functions. Also, we investigate their
A note on W-I-continuous functions
In [1], Açıkgöz et al. introduced and investigated the notions of w-I-continuous and w*-I-continuous functions in ideal topological spaces. In this paper, we investigate their relationships with
Some characterizations of Inversely Open and Inversely Closed maps via Ideals
We use the theory of local functions via ideals defined on a topological space to characterize inversely open and inversely closed maps between ideal spaces. AMS subject classification: 54C08, 54C10.
Topologies which generate a complete measure algebra
Topologies are constructed so that the σ-field they generate is the collection of Lebesgue-measurable sets. One such topology provides a simple proof of von Neumann's theorem on selecting
Concerning continuity apart from a meager set
Given a a-ideal .f of subsets of a space X, mappings f: X -Y are investigatSed, such that f I XO is continuous for some closed X0 c X with X \ XA0 E .
QUASI COMPACTNESS WITH RESPECT TO AN IDEAL
~ ~t. J. JlAlI 4:S):-1 ..:.J~~I ~ ~~ X ~~I <Y I J~I ...;~ rJ+A.o '~Vy r~ (~I.) J ,~'V r~ (~~) ..f'",)l J.ilJ . ,)J.bJ.1 ,)\.l~IJ .ly~1 ~ 4:S:r:- 4U~ »:,f e;A1J c..p..;\Jaj, ~~ ~l ~ ~.1JIJ J:,~~ ~ I
New topologies from old via ideals
On AI -sets, CI -sets, C∗ I -sets and decompositions of continuity in ideal topological spaces. An
  • Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.) 59,
  • 2013
Notes on the continuity in ideal topological spaces
  • Int. J. Pure Appl. Math. 23,
  • 2005
...
1
2
3
...