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math.GN2005
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,…
math.GN1999
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…
math.GN1999
Countable Toronto spaces
Gary Gruenhage, J. Tatch Moore
A space X is called an alpha-Toronto space if X is scattered of Cantor-Bendixson rank alpha and is homeomorphic to each of its subspaces of same rank. We answer a question of Stepr…