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pro vyhledávání: '"Gruenhage, Gary"'
A space $X$ is strongly $Y$-selective (resp., $Y$-selective) if every lower semicontinuous mapping from $Y$ to the nonempty subsets (resp., nonempty closed subsets) of $X$ has a continuous selection. We also call $X$ (strongly) $C$-selective if it is
Externí odkaz:
http://arxiv.org/abs/1904.01085
We study nonmetric analogues of Vietoris solenoids. Let $\Lambda$ be an ordered continuum, and let $\vec{p}=\langle p_1,p_2,\dots\rangle$ be a sequence of positive integers. We define a natural inverse limit space $S(\Lambda,\vec{p})$, where the firs
Externí odkaz:
http://arxiv.org/abs/1412.8508
Autor:
Gruenhage, Gary, Tkachuk, Vladimir V.
Publikováno v:
QM - Quaestiones Mathematicae; May2024, Vol. 47 Issue 5, p1079-1093, 15p
Publikováno v:
In Topology and its Applications 1 August 2020 281
Akademický článek
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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 compact, then C_k(X) contains a closed copy of S_2, and hence does not h
Externí odkaz:
http://arxiv.org/abs/1005.5542
Autor:
Gruenhage, Gary
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, we show that C_p(X) is hereditarily a D-space whenever X is a Lindel\"
Externí odkaz:
http://arxiv.org/abs/math/0503275
Autor:
Gruenhage, Gary
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 metrizably fibered space with a small diagonal is metrizable; (2) the
Externí odkaz:
http://arxiv.org/abs/math/9910153
Autor:
Gruenhage, Gary, Moore, J. Tatch
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 Steprans by constructing a countable alpha-Toronto space for each alpha<=om
Externí odkaz:
http://arxiv.org/abs/math/9902071
Autor:
Gruenhage, Gary, Lutzer, David
Publikováno v:
Proceedings of the American Mathematical Society, 2000 Oct 01. 128(10), 3115-3124.
Externí odkaz:
https://www.jstor.org/stable/2669184