Closed Extension Topological Spaces
DOI:
https://doi.org/10.29020/nybg.ejpam.v15i2.4379Keywords:
Closed extension, $C$-normality, $L$-normality, $CC$-normality, $S$-normality, $P$-normality, normality, mild normality, almost normality, $\pi$-normality, property $wD$, scatteredAbstract
Let ( X , τ ) be a topological space and p ̸∈ X. Put Xp = X ∪ { p }. Define a topology τ⋆ on Xp by τ⋆ = { ∅ } ∪ {U ∪ { p } : U ∈ τ }. The space ( Xp, τ⋆) is called the closed extension space of ( X , τ ). We present new results about the closed extension topological spaces. Mainly weaker versions of normality.
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