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order-preserving map
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(Definition)
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Order-preserving map from a poset  to a poset  is a function  such that
Order-preserving maps are also called monotone functions or monotonic functions and order homomorphisms and isotone functions or isotonic functions.
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"order-preserving map" is owned by porton.
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(view preamble)
See Also: poset, lattice homomorphism
| Other names: |
monotone function, monotonic function, order homomorphism, isotone function, isotonic function |
| Also defines: |
monotonicity |
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Cross-references: function, poset
There are 24 references to this entry.
This is version 5 of order-preserving map, born on 2008-01-16, modified 2008-01-29.
Object id is 10195, canonical name is OrderPreservingMap.
Accessed 778 times total.
Classification:
| AMS MSC: | 06A06 (Order, lattices, ordered algebraic structures :: Ordered sets :: Partial order, general) |
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Pending Errata and Addenda
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