A note on the length of perfect sequences in ordered sets with PT-ordered

• Autorzy: Rutkowski A.
• Języki publikacji: EN

Abstrakty

EN

For any ordinal α there exists a bipartite ordered set P containing no infinite fences such that P has a perfect sequence of length α.

Słowa kluczowe

EN

PT-order; perfect sequence

PL

grupy

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 4
• Strony: 779--784
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Rutkowski A.

• Faculty of Mathematics and Information Science, Warsaw University of Technology, pl. Politechniki 1, 00-661 Warszawa, Poland

Bibliografia

• [1] J. D. Farley (1995), The structure of function lattices, Ph.D. thesis, University of Oxford, Lincoln College.
• [2] B. Li (1992), The PT-order, cutsets and fixed points in posets, Ph.D. thesis, The University of Calgary.
• [3] B. Li, E. C. Milner (1992), The PT-order and the fixed point property, Order 9, 321-331.
• [4] B. Li, E. C. Milner (1993), A chain complete poset with no infinite antichain has a finite core, Order 10, 55-63.
• [5] B. Li (1993), The core of a chain complete poset with no one-way infinite fence and no tower, Order 10, 349-361.
• [6] B. S. W. Schroder (2000), Uniqueness of the core for chain-complete ordered sets, Order 17, 207-214.
• [7] J. W. Walker (1984), Isotone relations and the fixed point free property for posets, Discrete Math. 48, 275-288.