Izvorni znanstveni članak

New normality axioms and decompositions of normality

J. K. Kohli
A. K. Das

Sažetak

Generalizations of normality, called (weakly) (functionally) θ-normal spaces, are introduced and studied. This leads to decompositions of normality. It turns out that every paracompact space is θ-normal. Moreover, every Lindelof space as well as every almost compact space is weakly θ-normal. Preservation of θ-normality and its variants under mappings is studied. This in turn strengthens several known results pertaining to normality.

Ključne riječi

θ-closed set; θ-open set; θ-normal space; θ-regular space; almost compact space; θ-continuous function

Hrčak ID:

4821

URI

https://hrcak.srce.hr/4821

Datum izdavanja:

1.6.2002.

Posjeta: 1.330 *