Title of article :
A consistent σ-compact sequential space which is not hereditarily weakly Whyburn
Author/Authors :
Costantini، نويسنده , , Camillo، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2007
Abstract :
We prove that under a = c (in particular, under Martinʹs Axiom) there exists a regular σ-compact sequential space which is not hereditarily weakly Whyburn. This gives a consistent solution to a question, first formulated by V.V. Tkachuk and I.V. Yashenko, and then raised again by F. Obersnel.
Keywords :
Sequential space , Continuum hypothesis , (Maximal) almost disjoint family , (Hereditarily) weakly Whyburn space , Regular space , ?-Compact space , Lindel?ff and paracompact space
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications
