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» Summability in topological spaces
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ENTCS
2006
106views more  ENTCS 2006»
14 years 9 months ago
Injective Convergence Spaces and Equilogical Spaces via Pretopological Spaces
Sierpinski space is injective in the category Top of topological spaces, but not in any of the larger cartesian closed categories Conv of convergence spaces and Equ of equilogica...
Reinhold Heckmann
CORR
2010
Springer
90views Education» more  CORR 2010»
14 years 10 months ago
No embedding of the automorphisms of a topological space into a compact metric space endows them with a composition that passes
The Hausdorff distance, the Gromov-Hausdorff, the Fr
Patrizio Frosini, Claudia Landi
KI
2007
Springer
15 years 3 months ago
Spatio-Temporal Configurations of Dynamics Points in a 1D Space
This paper describes a spatio-temporal configurations building approach, which has been applied to dynamics points in 1-dimensional space. In this approach, a temporal logic, Allen...
Pierre Hallot, Roland Billen
JSYML
2002
96views more  JSYML 2002»
14 years 9 months ago
Definitions of Compactness and The Axiom of Choice
We study the relationships between definitions of compactness in topological spaces and the roll the axiom of choice plays in these relationships.
Omar de la Cruz, Eric J. Hall, Paul E. Howard, Jea...
AML
2006
87views more  AML 2006»
14 years 9 months ago
The modal logic of continuous functions on cantor space
Abstract Let L be a propositional language with standard Boolean connectives plus two modalities: an S4-ish topological modality and a temporal modality , understood as `next'...
Philip Kremer