Heredity of tau-pseudocompactness
Jerry E. Vaughan
Abstract
S. Garcia-Ferreira and H. Ohta gave a construction that was intended to produce a tau-pseudocompact space, which has a regular-closed zero set A and a regular-closed C-embedded set B such that neither A nor B is tau-pseudocompact. We show that although their sets A, B are not regular-closed, there are at least two ways to make their construction work to give the desired example.
Create a lesson
Related papers
Roughness of nets
Sanjoy Ghosal, Mandobi Banerjee
On Wilker-Type Properties
Wu Wang, Jiajun Tang
Pointfree convergence approach and pointfree index theory
Emilio Angulo-Perkins, Frédéric Mynard
H-sober spaces and Hofmann-Mislove type theorems
Xiaoquan Xu, Xinjie Huang
Hereditarily Lindelöf and hereditarily separable subspaces of function spaces
Evgenii Reznichenko
Separately continuous maps into regular spaces and continuity of operations in separable semitopological groups
Evgenii Reznichenko