Title of article :
On Fσ-δ-normality and hereditary δ-normality
Author/Authors :
Roman V Kombarov، نويسنده , , A.P.، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 1999
Abstract :
It is proved that if all Fσ-sets in the product X × Y are δ-normal, then either X is normal and countably paracompact or all countable subsets of Y are closed. If the product X × Y is hereditarily δ-normal, then either X is perfectly normal or all countable subsets of Y are closed. Applications to exp(X), Cp(X) and products are given.
Keywords :
Countable paracompactness , Normality , Exponential space , F?-?-normality , Cartesian products , Hereditary ?-normality , Space of all continuous real-valued functions , Perfect normality
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications
