Turkish Journal of Mathematics
DOI
-
Abstract
A function is defined to be hardly open provided that the inverse image of each dense subset of the codomain that is contained in a proper open set is dense in the domain. This form of weak openness is shown to be strictly between near feeble openness and somewhat openness. Characterizations and properties of hardly open functions are presented.
Keywords
hardly open, nearly feebly open, somewhat open. 1991 Mathematics Subject Classification. 54 C 10.
First Page
389
Last Page
394
Recommended Citation
BAKER, C. W. (1996) "WEAK FORMS OF OPENNESS BASED UPON DENSENESS," Turkish Journal of Mathematics: Vol. 20: No. 3, Article 9. Available at: https://journals.tubitak.gov.tr/math/vol20/iss3/9
