Toset vs Poset - What's the difference?
toset | poset |
T'otally]] '''O'''rdered [[set, ' Set .
(set theory) A partially ordered set.
* 1973, Barbara L. Osofsky, Homological Dimensions of Modules , American Mathematical Society, ISBN 0821816624, page 76,
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As an abbreviation TOSET
is Totally Ordered Set.As a noun poset is
a partially ordered set.toset
English
(Totally ordered set)Abbreviation
(Abbreviation) (head)Anagrams
* *poset
English
Noun
(en noun)- 42. Definition.'' A poset (partially ordered set) (''X'', ?) (usually written just ''X'') is a set ''X'' together with a transitive, antisymmetric relation ? on ''X .
- 43. Definition.'' A linearly ordered set or chain is a poset (''X'', ?), such that ?''a'', ''b'' ? ''X'', either ''a'' ? ''b'' or ''b'' ? ''a'' or ''a'' = ''b .
