| Issue |
BIO Web Conf.
Volume 97, 2024
Fifth International Scientific Conference of Alkafeel University (ISCKU 2024)
|
|
|---|---|---|
| Article Number | 00169 | |
| Number of page(s) | 5 | |
| DOI | https://doi.org/10.1051/bioconf/20249700169 | |
| Published online | 05 April 2024 | |
Characterizations of Paracompact Map
1 Department of Mathematics, Faculty of Education for Pure Science University of Wasit, Wasit, Iraq
2 Department of Mathematics, Directorate-General of Education of Wasit, Wasit, Iraq
3 Department of Computer, Faculty of Education, University of Kufa, Najaf, Iraq
* Corresponding Author: emad.kuffi@uomustansiriyah.edu.iq
Paracompactness is a tool for splitting of a space. In this paper, new types of maps initiated called a paracompact map, S-paracompact mapping and β-paracompact mapping. The properties of these maps investigated. In addition, the relationships between a paracompact map with other maps discussed, such as Bourbaki proper mapping and closed mapping. Moreover, we studied the necessary conditions and properties for satisfying the composition of the new maps with the projection map and constant map are paracompact. The product of two paracompact maps also verified under necessary conditions
© The Authors, published by EDP Sciences, 2024
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