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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
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
ALDT
2009
Springer
158views Algorithms» more  ALDT 2009»
13 years 2 months ago
Axioms for a Class of Algorithms of Sequential Decision Making
Abstract. We axiomatically characterise a class of algorithms for making sequential decisions in situations of complete ignorance. These algorithms assume that a decision maker (DM...
Murali Agastya, Arkadii M. Slinko
FSS
2008
82views more  FSS 2008»
13 years 5 months ago
Lattice-valued convergence spaces and regularity
: We define a regularity axiom for lattice-valued convergence spaces where the lattice is a complete Heyting algebra. To this end, we generalize the characterization of regularity ...
Gunther Jäger
MLQ
2008
77views more  MLQ 2008»
13 years 4 months ago
On countable choice and sequential spaces
Abstract: Under the axiom of choice, every first countable space is a Fr
Gonçalo Gutierres