Somewhat-connectedness and somewhat-continuity in the product space

Journal of Linear and Topological Algebra

مقاله 5، دوره 09، شماره 02، شهریور 2020، صفحه 139-148   

نوع مقاله: Research Paper

نویسندگان

M. S. Bilao؛ M. A. Labendia^*

Department of Mathematics and Statistics, Mindanao State University-Iligan Institute of Technology, 9200 Iligan City, Philippines

چکیده

In this paper, the concept of somewhat-connected space will be introduced and characterized. Its connection with the other well-known concepts such as the classical connectedness, the $\omega_\theta$-connectedness, and the $\omega$-connectedness will be determined. Moreover, the concept of \textit{somewhat}-continuous function from an arbitrary topological space into the product space will be characterized.

کلیدواژه‌ها

Somewhat-open؛ somewhat-closed؛ somewhat-connected؛ somewhat-continuous

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