The complete dimension theory of partially ordered systems with equivalence and orthogonality
نویسندگان
چکیده
منابع مشابه
The complete dimension theory of partially ordered systems with equivalence and orthogonality
We develop dimension theory for a large class of structures of the form (L,≤,⊥,∼), where (L ≤) is a partially ordered set, ⊥ is a binary relation on L, and ∼ is an equivalence relation on L, subject to certain axioms. We call these structures espaliers. For x, y, z ∈ L, we say that z = x ⊕ y holds, if x ⊥ y and z is the supremum of {x, y}. The dimension theory of L is the universal ∼-invariant ...
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ژورنال
عنوان ژورنال: Memoirs of the American Mathematical Society
سال: 2005
ISSN: 0065-9266,1947-6221
DOI: 10.1090/memo/0831