Topology Proceedings 33 (2009), pp. 211-223

A note on ditopological texture spaces

Ayşegül Altay Uğur and Murat Diker

In this study, we present the hereditary separation properties of plain ditopological texture spaces for induced subtextures. Brown and his team proved that the complete biregularity is productive. Here, using the concept of induced subtexture, we show that the converse of this result is true for plain texture spaces, namely if a product of plain ditopological texture spaces is completely biregular, then all factor spaces are also completely biregular.

Keywords: texturing, texture space, ditopology, plain texture, induced subtexture, complete biregularity

Mathematics Subject Classification: 54E55

Document formats: PDF file 181.0 Kb

Topology Proceedings, Volume 33 (2009)
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