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FSS
2007
71views more  FSS 2007»
13 years 4 months ago
Pretopological and topological lattice-valued convergence spaces
: We show that the classical axiom which characterizes pretopological convergence spaces splits into two axioms in the general Heyting algebra-valued case. Furthermore we present a...
Gunther Jäger
ENTCS
2006
106views more  ENTCS 2006»
13 years 4 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
ACS
2007
13 years 5 months ago
Axioms for Sequential Convergence
: It is of general knowledge that those (ultra)filter convergence relations coming from a topology can be characterized by two natural axioms. However, the situation changes consi...
Gonçalo Gutierres, Dirk Hofmann