Glasnik matematički, Vol. 37 No. 1, 2002.
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
Datum izdavanja:
1.6.2002.
Posjeta: 1.042 *