About: Order convergence,order and interval topologies on posets and lattice effect algebras

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We can say that topology is practically equivalent with the concept of convergence. In the modern topology the concept of convergence of filters is discussed rather than convergence of nets. That is because, while convergence of nets is more intuitive, filters are easier to handle. Nevertheless, from the probability (on Boolean algebras or quantum structures) point of view the convergence of nets is the main tool. It is not only because of properties of states, probabilities or observables, but for algebraic properties of sets of events as well. In section 2 we review some of the standard facts about order convergence and topological convergence of nets and posets. Sections 3 and 4 include new results. In every complete atomic MV-effect algebra (MV-algebra) the order convergence of nets is a topological convergence, at which this order topology is a compact Hausdorff topology. We can say that topology is practically equivalent with the concept of convergence. In the modern topology the concept of convergence of filters is discussed rather than convergence of nets. That is because, while convergence of nets is more intuitive, filters are easier to handle. Nevertheless, from the probability (on Boolean algebras or quantum structures) point of view the convergence of nets is the main tool. It is not only because of properties of states, probabilities or observables, but for algebraic properties of sets of events as well. In section 2 we review some of the standard facts about order convergence and topological convergence of nets and posets. Sections 3 and 4 include new results. In every complete atomic MV-effect algebra (MV-algebra) the order convergence of nets is a topological convergence, at which this order topology is a compact Hausdorff topology. (en)
Title	Order convergence,order and interval topologies on posets and lattice effect algebras Order convergence,order and interval topologies on posets and lattice effect algebras (en)
skos:prefLabel	Order convergence,order and interval topologies on posets and lattice effect algebras Order convergence,order and interval topologies on posets and lattice effect algebras (en)
skos:notation	RIV/00216224:14310/08:00026703!RIV10-MSM-14310___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM0021622409)
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Paseka, Jan
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Masarykova univerzita / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	385309
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/08:00026703
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	order convergence; topological convergence; lattice effect algebra; de Morgan lattice (en)
http://linked.open.../riv/klicoveSlovo	lattice effect algebra de Morgan lattice order convergence topological convergence
http://linked.open...ontrolniKodProRIV	[B5AAA211E785]
http://linked.open...v/mistoKonaniAkce	Kalnica, Slovak Republik
http://linked.open...i/riv/mistoVydani	Bratislav, Slovak Republic
http://linked.open...i/riv/nazevZdroje	UNCERTAINTY 2008
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...UplatneniVysledku	2008
http://linked.open...iv/tvurceVysledku	Paseka, Jan Riečanová, Zdenka Mosná, Katarína
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2008-01-01 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Matematické struktury a jejich fyzikální aplikace
number of pages	18 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Slovak University of Technology in Bratislava, Publishing House of STU
https://schema.org/isbn	978-80-227-2926-0
http://localhost/t...ganizacniJednotka	14310
is http://linked.open...avai/riv/vysledek of	Order convergence,order and interval topologies on posets and lattice effect algebras Order convergence,order and interval topologies on posets and lattice effect algebras Order convergence,order and interval topologies on posets and lattice effect algebras Order convergence,order and interval topologies on posets and lattice effect algebras

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