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ACS
2007
15 years 16 days 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
54
Voted
FSS
2007
71views more  FSS 2007»
15 years 10 days 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»
14 years 10 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
73
Voted
FSS
2008
82views more  FSS 2008»
15 years 14 days 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
82
Voted
MLQ
2008
77views more  MLQ 2008»
15 years 11 days ago
On countable choice and sequential spaces
Abstract: Under the axiom of choice, every first countable space is a Fr
Gonçalo Gutierres