Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2002

Ключевые слова: Valued sets, Valued relations, Well-graded spaces

Аннотация: Well-graded spaces of valued sets and relations are introduced and their properties are investigated. In particular, it is shown that the space of valued partial orders on a finite set is well-graded. This is a generalization of a well-known result of Bogart (J. Math. Soc. 3 (1973) 49). Motivation for these studies comes from media theory (Falmagne, J. Math. Psych. 41 (2) (1997) 129; Discrete Appl. Math., submitted) where well-graded families of usual sets play an important role.

Журнал: Discrete Mathematics

Выпуск журнала: Т. 245, № 1-3

Номера страниц: 217-233

ISSN журнала: 0012365X

Издатель: Elsevier Science Publishing Company, Inc.

• Ovchinnikov S.

• Ядро РИНЦ (eLIBRARY.RU)