2 citations · 3 across the 7 of their papers we have counts for
7 papers
Continuous Selections of Lower semicontinuous Set-valued Mappings
Ziqin Feng, Gary Gruenhage, Rongxin Shen
A space is strongly -selective (resp., -selective) if every lower semicontinuous mapping from to the nonempty subsets (resp., nonempty closed subsets) of has a co…
A negative answer to the problem: are stratifiable spaces ?
Huaipeng Chen, Bosen Wang
In accordance with -structures in paper [4], we construct a stratifiable space which is not -spaces.
-homogeneous long solenoids
Jan P. Boronski, Gary Gruenhage, George Kozlowski
We study nonmetric analogues of Vietoris solenoids. Let be an ordered continuum, and let be a sequence of positive integers. We define a…
Sequential properties of function spaces with the compact-open topology
Gary Gruenhage, Boaz Tsaban, Lyubomyr Zdomskyy
Let M be the countably infinite metric fan. We show that C_k(M,2) is sequential and contains a closed copy of Arens space S_2. It follows that if X is metrizable but not locally co…
A note on D-spaces
Gary Gruenhage
We introduce notions of nearly good relations and N-sticky modulo a relation as tools for proving that spaces are D-spaces. As a corollary to general results about such relations,…
Spaces having a small diagonal
Gary Gruenhage
We obtain several results and examples concerning the general question ``When must a space with a small diagonal have a G_delta-diagonal?". In particular, we show (1) every compact…