Butanas, Lyle Leon L.; Labendia, Mhelmar A. \(\theta_\omega\)-connected space and \(\theta_\omega\)-continuity in the product space. (English) Zbl 1474.54023 Poincare J. Anal. Appl. 7, No. 1, 79-88 (2020). Summary: In this paper, the concepts of \(\theta_\omega\)-connected space and \(\theta_\omega\)-continuous function from an arbitrary topological space into the product space will be introduced and characterized. MSC: 54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) 54A05 Topological spaces and generalizations (closure spaces, etc.) Keywords:\(\theta_\omega\)-open; \(\theta_\omega\)-closed; \(\theta_\omega\)-connected; \(\theta_\omega\)-continuous PDFBibTeX XMLCite \textit{L. L. L. Butanas} and \textit{M. A. Labendia}, Poincare J. Anal. Appl. 7, No. 1, 79--88 (2020; Zbl 1474.54023)