GENERALIZED PRODUCT TOPOLOGY

Title & Authors
GENERALIZED PRODUCT TOPOLOGY
Wu, Xinxing; Zhu, Peiyong;

Abstract
Similarly to Tychonoff product, we introduce the concept of generalized product topology which is different from the notion of product of generalized topologies in [$\small{\acute{A}}$. $\small{Cs\acute{a}sz\acute{a}r}$, Acta Math. Hungar. 123 (2009), 127-132] for generalized topology and obtain some properties about it. Besides, we prove that connectedness, $\small{{\sigma}}$-connectedness and $\small{{\alpha}}$-connectedness are all preserved under this product.
Keywords
generalized product topology (GPT);connectedness;$\small{{\alpha}}$-connectedness;$\small{{\sigma}}$-connectedness;$\small{{\pi}}$-connectedness;$\small{{\beta}}$-connectedness;
Language
English
Cited by
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