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Universal Covers for Hausdorff Limits of Noncompact Spaces
 Transactions of the American Mathematical Society
"... We prove that if Y is the GromovHausdorff limit of a sequence of complete manifolds, M n i, with a uniform lower bound on Ricci curvature then Y has a universal cover. 1 ..."
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Cited by 21 (9 self)
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We prove that if Y is the GromovHausdorff limit of a sequence of complete manifolds, M n i, with a uniform lower bound on Ricci curvature then Y has a universal cover. 1
FIRST COUNTABLE, COUNTABLY COMPACT, NONCOMPACT SPACES
"... The main problem in this article is one of my alltime favorites. To drum up interest in it, I announced at the 1986 Prague Topological Symposium (Toposym) that I was offering a US$500 prize for a solution during the following ten years [9]. There was essentially no progress on the problem all durin ..."
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Cited by 2 (0 self)
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it. Here is the problem that is the focus of all this largesse: Problem 1. Does ZFC imply the existence of a separable, first countable, count 1001? ably compact, noncompact Hausdorff (T2) space? A mild putdown of general topology one hears from time to time is that there are too many adjectives
Solitons on compact and noncompact spaces in large noncommutativity,” hepth/0012259
"... We study solutions at the minima of scalar field potentials for Moyal spaces and torii in the large noncommutativity and interprete these solitons in terms of nonBPS Dbranes of string theory. We derive a mass spectrum formula linking different Dbranes together on quantum torii and suggest that i ..."
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Cited by 12 (5 self)
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We study solutions at the minima of scalar field potentials for Moyal spaces and torii in the large noncommutativity and interprete these solitons in terms of nonBPS Dbranes of string theory. We derive a mass spectrum formula linking different Dbranes together on quantum torii and suggest
The large N limit of superconformal field theories and supergravity
, 1998
"... We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of AntideSitter spacetimes, spheres and other compact manifolds. This is shown by taking some branes in the full M/string theory and ..."
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Cited by 5631 (20 self)
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We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of AntideSitter spacetimes, spheres and other compact manifolds. This is shown by taking some branes in the full M/string theory
How to force a countably tight, initially ω1compact and noncompact space
 Topology Appl
, 1996
"... Abstract. Improving a result of M. Rabus we force a normal, locally compact, 0dimensional, FrechetUryson, initially ω1compact and noncompact space X of size ω2 having the following property: for every open (or closed) set A in X we have A  ≤ ω1 or X \ A  ≤ ω1. 1. ..."
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Cited by 6 (2 self)
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Abstract. Improving a result of M. Rabus we force a normal, locally compact, 0dimensional, FrechetUryson, initially ω1compact and noncompact space X of size ω2 having the following property: for every open (or closed) set A in X we have A  ≤ ω1 or X \ A  ≤ ω1. 1.
doi:10.1155/2010/584215 Research Article Generalized IFSs on Noncompact Spaces
"... the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The aim of this paper is to continue the research work that we have done in a previous paper published in this journal see Mihail andM ..."
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Miculescu, 2008. We introduce the notion of GIFS, which is a family of functions f1,..., fn: Xm → X, where X, d is a complete metric space in the above mentioned paper the case when X, d is a compact metric space was studied andm,n ∈ N. In case that the functions fk are Lipschitz contractions, we prove
Observability on Noncompact Symmetric Spaces
, 1998
"... this paper we'll look at the special case where X is a riemannian symmetric space of noncompact type. Thus X is a noncompact riemannian manifold with a very large symmetry group G, harmonic analysis on X is understood in terms of the structure of G, and the operator ..."
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this paper we'll look at the special case where X is a riemannian symmetric space of noncompact type. Thus X is a noncompact riemannian manifold with a very large symmetry group G, harmonic analysis on X is understood in terms of the structure of G, and the operator
The spectrum of BPS branes on a noncompact CalabiYau
, 2000
"... We begin the study of the spectrum of BPS branes and its variation on lines of marginal stability on OIP2(−3), a CalabiYau ALE space asymptotic to C 3 /Z3. We show how to get the complete spectrum near the large volume limit and near the orbifold point, and find a striking similarity between the de ..."
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Cited by 134 (12 self)
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We begin the study of the spectrum of BPS branes and its variation on lines of marginal stability on OIP2(−3), a CalabiYau ALE space asymptotic to C 3 /Z3. We show how to get the complete spectrum near the large volume limit and near the orbifold point, and find a striking similarity between
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"... Relative Nielsen theory for noncompact spaces and maps. (English summary) ..."
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Relative Nielsen theory for noncompact spaces and maps. (English summary)
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