We introduce and examine the notion of dense weak openness. In particular we show that multiplication in C(X) is densely weakly open whenever X is an interval in ℝ.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm122-2-10,
author = {Marek Balcerzak and Aleksander Maliszewski},
title = {On multiplication in spaces of continuous functions},
journal = {Colloquium Mathematicae},
volume = {122},
year = {2011},
pages = {247-253},
zbl = {1223.46052},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm122-2-10}
}
Marek Balcerzak; Aleksander Maliszewski. On multiplication in spaces of continuous functions. Colloquium Mathematicae, Tome 122 (2011) pp. 247-253. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm122-2-10/