Title of article :
A first countable, initially -compact but non-compact space
Author/Authors :
Juhلsz، نويسنده , , Istvلn and Koszmider، نويسنده , , Piotr and Soukup، نويسنده , , Lajos، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2009
Abstract :
We force a first countable, normal, locally compact, initially ω 1 -compact but non-compact space X of size ω 2 . The one-point compactification of X is a non-first countable compactum without any (non-trivial) converging ω 1 -sequence.
Keywords :
Initially ? 1 -compact , First countable , forcing , Right separated space , ?-function , normal , Locally compact
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications