Some Issues On Topological Operators Via Ideals | ||||
| Journal of Contemporary Technology and Applied Engineering | ||||
| Volume 3, Issue 1, June 2024, Page 25-31 PDF (926.11 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/jctae.2024.288554.1026 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
Roshdey Roshdey  1; Arafa Nasef2; Nagwa Youns1; Mohamed Badr3
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| 1Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt, | ||||
| 2Department of Physics and Engineering Mathematics, Faculty of Engineering, Kafrelsheikh University, Kafrelsheikh 33516, Egypt; | ||||
| 3Department of Mathematics, Faculty of Science, new Valley University, Egypt. | ||||
| Abstract | ||||
| In a topological structure (X1,τ) any ideal I of a subset of X induces a new topology τ1 (I). If Y is a regular structure, then under some assumptions on I, for any upper τ∗- quasi continuous multivalued map F : X1 → P(Y )\∅ ,the sets of all points at which F is lower quasi- continuous (lower semi-continuous with respect to τ∗ or τ coincides). If F is compact- valued lower τ∗ - quasi continuous, then the symmetrical result holds (J.Ewert [8]). The paper concerns operators in ideal topological structures. Some properties and characterizations of the set operator ( )∗s are investigated and explored. We define, explore, and analyze nano semi- local function as well as some of its characteristics. Finally, we design a graph of vital places in our city with regard to ideals. | ||||
| Keywords | ||||
| Local functions; Ideal; nano semi Local functions | ||||
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