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Statements

Subject Item
n2:RIV%2F00216305%3A26210%2F13%3APU98352%21RIV14-MSM-26210___
rdf:type
skos:Concept n7:Vysledek
dcterms:description
Discrete systems such as sets, monoids, groups are familiar categories. The internal structure of the latter two is defined by an algebraic operator. In this paper we concentrate on discrete systems that are characterized by unary operators; these include choice operators $\CHOICE$, encountered in economics and social theory, and closure operators $\CL$, encountered in discrete geometry and data mining. Because, for many arbitrary operators $\OPER$, it is easy to induce a closure structure on the base set, closure operators play a central role in discrete systems. Our primary interest is in functions $f$ that map power sets $2^{\UNIV}$ into power sets $2^{\UNIV'}$, which are called transformations. Functions over continuous domains are usually characterized in terms of open sets. When the domains are discrete, closed sets seem more appropriate. In particular, we consider monotone transformations which are ``continuous'', or ``closed''. These can be used to establish criteria for asserting that ``the c Discrete systems such as sets, monoids, groups are familiar categories. The internal structure of the latter two is defined by an algebraic operator. In this paper we concentrate on discrete systems that are characterized by unary operators; these include choice operators $\CHOICE$, encountered in economics and social theory, and closure operators $\CL$, encountered in discrete geometry and data mining. Because, for many arbitrary operators $\OPER$, it is easy to induce a closure structure on the base set, closure operators play a central role in discrete systems. Our primary interest is in functions $f$ that map power sets $2^{\UNIV}$ into power sets $2^{\UNIV'}$, which are called transformations. Functions over continuous domains are usually characterized in terms of open sets. When the domains are discrete, closed sets seem more appropriate. In particular, we consider monotone transformations which are ``continuous'', or ``closed''. These can be used to establish criteria for asserting that ``the c
dcterms:title
Transformations of Discrete Closure Systems Transformations of Discrete Closure Systems
skos:prefLabel
Transformations of Discrete Closure Systems Transformations of Discrete Closure Systems
skos:notation
RIV/00216305:26210/13:PU98352!RIV14-MSM-26210___
n7:predkladatel
n8:orjk%3A26210
n3:aktivita
n15:P
n3:aktivity
P(ED1.1.00/02.0070)
n3:cisloPeriodika
4
n3:dodaniDat
n10:2014
n3:domaciTvurceVysledku
n14:7983697
n3:druhVysledku
n18:J
n3:duvernostUdaju
n19:S
n3:entitaPredkladatele
n17:predkladatel
n3:idSjednocenehoVysledku
111587
n3:idVysledku
RIV/00216305:26210/13:PU98352
n3:jazykVysledku
n11:eng
n3:klicovaSlova
closure, choice, operator, continuous, category, function
n3:klicoveSlovo
n4:closure n4:category n4:function n4:operator n4:choice n4:continuous
n3:kodStatuVydavatele
HU - Maďarsko
n3:kontrolniKodProRIV
[FA34E1A9657B]
n3:nazevZdroje
Acta Mathematica Hungarica
n3:obor
n16:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n9:ED1.1.00%2F02.0070
n3:rokUplatneniVysledku
n10:2013
n3:svazekPeriodika
138
n3:tvurceVysledku
Pfaltz, John Šlapal, Josef
s:issn
0236-5294
s:numberOfPages
20
n12:organizacniJednotka
26210