Combinatorial trees in Priestley spaces
Result description
Prohibiting a combinatorial tree in the Priestley duals determines an axomatizable class of distributive lattices. On the other hand, prohibiting n-crowns with n at least 3 does not. Given what is known about the diamond, this is another strong indication that this fact characterizes combinatorial trees. We also discuss varieties of 2-Heyting algebras in this context.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Combinatorial trees in Priestley spaces
Original language description
Prohibiting a combinatorial tree in the Priestley duals determines an axomatizable class of distributive lattices. On the other hand, prohibiting n-crowns with n at least 3 does not. Given what is known about the diamond, this is another strong indication that this fact characterizes combinatorial trees. We also discuss varieties of 2-Heyting algebras in this context.
Czech name
Kombinatorické stromy v Priestleyovských prostorech
Czech description
Zákaz komb. stromu v Priestleyovském duálu určuje axiomatisovatelnou třídu distributivních svazů, n-koruny pro n aspoň 3 ne.
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Commentationes Mathematicae Universitatis Carolinae
ISSN
0010-2628
e-ISSN
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Volume of the periodical
46
Issue of the periodical within the volume
2
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
18
Pages from-to
217-234
UT code for WoS article
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EID of the result in the Scopus database
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Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2005