[EN] Two new weak variants of continuity called 'R-continuity'and 'F-continuity' are introduced. Their basic properties are studied and their place in the hierarchy of weak variants of continuity, that already exist in the ...
Kohli, J.K.; Das, A.K.(Universitat Politècnica de València, 2005-04-01)
[EN] Characterizations of functionally θ-normal spaces including the one that of Urysohn’s type lemma, are obtained. Interrelations among (functionally) θ-normal spaces and certain generalizations of normal spaces are ...
Conejero, J. Alberto; Muñoz-Fernández, Gustavo A.; Murillo Arcila, Marina; Seoane Sepúlveda, Juan Benigno(Belgian Mathematical Society, 2015)
[EN] In this short note we show that there exist uncountably generated alge- bras every non-zero element of which is a smooth function having uncount- ably many zeros. This result complements some recent ones by Enflo et ...