Duality (order Theory)

Author:   Lambert M. Surhone ,  Mariam T. Tennoe ,  Susan F. Henssonow
Publisher:   VDM Publishing House
ISBN:  

9786131259241


Pages:   92
Publication Date:   15 August 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Duality (order Theory)


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High Quality Content by WIKIPEDIA articles! In the mathematical area of order theory, every partially ordered set P gives rise to a dual (or opposite) partially ordered set which is often denoted by Pop or Pd. This dual order Pop is defined to be the set with the inverse order, i.e. x y holds in Pop iff y x holds in P. It is easy to see that this construction, which can be depicted by flipping the Hasse diagram for P upside down, will indeed yield a partially ordered set. In a broader sense, two posets are also said to be duals if they are dually isomorphic, i.e. if one poset is order isomorphic to the dual of the other.

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Author:   Lambert M. Surhone ,  Mariam T. Tennoe ,  Susan F. Henssonow
Publisher:   VDM Publishing House
Imprint:   VDM Publishing House
Dimensions:   Width: 22.90cm , Height: 0.50cm , Length: 15.20cm
Weight:   0.148kg
ISBN:  

9786131259241


ISBN 10:   6131259240
Pages:   92
Publication Date:   15 August 2010
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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