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» Compactness of Loeb Spaces
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JSYML
1998
51views more  JSYML 1998»
13 years 7 months ago
Compactness of Loeb Spaces
In this paper we show that the compactness of a Loeb space depends on its cardinality, the nonstandard universe it belongs to and the underlying model of set theory we live in. In...
Renling Jin, Saharon Shelah
JSYML
2000
58views more  JSYML 2000»
13 years 7 months ago
Maharam Spectra of Loeb Spaces
We characterize Maharam spectra of Loeb probability spaces and give some applications of the results.
Renling Jin, H. Jerome Keisler
SIAMCO
2010
93views more  SIAMCO 2010»
13 years 2 months ago
Morphological Control Problems with State Constraints
In this paper, we extend fundamental notions of control theory to evolving compact subsets of the Euclidean space
Thomas Lorenz
FSS
2010
86views more  FSS 2010»
13 years 4 months ago
Compactification of lattice-valued convergence spaces
: We define compactness for stratified lattice-valued convergence spaces and show that a Tychonoff theorem is true. Further a generalization of the classical Richardson compactific...
Gunther Jäger
COMBINATORICA
2011
12 years 7 months ago
On planarity of compact, locally connected, metric spaces
Thomassen [Combinatorica 24 (2004), 699–718] proved that a 2–connected, compact, locally connected metric space is homeomorphic to a subset of the sphere if and only if it doe...
R. Bruce Richter, Brendan Rooney, Carsten Thomasse...