Global Journal of Researches in Engineering, J: General Engineering, Volume 1 9 Issue 2

© 2019. Mohammed Nokhas Murad Kaki. This is a research/review paper, distributed under the terms of the Creative Commons Attribution-Noncommercial 3.0 Unported License http://creativecommons.org/licenses/by-nc/3.0/) , permitting all non commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. New Types of Transitive Maps and Minimal Mappings By Mohammed Nokhas Murad Kaki University of Sulaimani Abstract- In this paper, we have introduced the relationship between two different concepts of maps, namely topological − α transitive and − δ transitive maps and investigate some of their properties in two topological spaces ) , ( α τ X and ) , ( δ τ X , α τ denotes the − α topology and δ τ denotes the − δ topology of a given topological space ). , ( τ X The two concepts are defined by using the concepts of − α irresolute and − δ irresolute maps respectively Also, we studied the relationship between two types of minimal systems, namely, α - minimal and − δ minimal systems, The main results are the following propositions. Keywords: topologically − δ transitive, α - irresolute, δ - transitive, − δ dense. FOR Code: 091599 NewTypesofTransitiveMapsandMinimalMappings Strictly as per the compliance and regulations of: Volume 19 Issue 2 Version 1.0 Year 2019 Online ISSN: 2249-4596 & Print ISSN: 0975-5861 Global Journal of Researches in Engineering: J General Engineering Type: Double Blind Peer Reviewed International Research Journal Publisher: Global Journals GJRE-J Classification: