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Characterization of hereditarily reversible posets

In: Mathematica Slovaca, vol. 66, no. 3
Michał Kukieła
Detaily:
Rok, strany: 2016, 539 - 544
Kľúčové slová:
order preserving bijection, automorphism, hereditarily reversible poset, continuous bijection, homeomorphism, hereditarily reversible topological space
O článku:
A poset $P$ is called reversible if every order preserving bijective self map of $P$ is an order automorphism. $P$ is called hereditarily reversible if every subposet of $P$ is reversible. We give a complete characterization of hereditarily reversible posets in terms of forbidden subsets. A similar result is stated also for preordered sets. As a corollary we extend the list of known examples of hereditarily reversible topological spaces.
Ako citovať:
ISO 690:
Kukieła, M. 2016. Characterization of hereditarily reversible posets. In Mathematica Slovaca, vol. 66, no.3, pp. 539-544. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0155

APA:
Kukieła, M. (2016). Characterization of hereditarily reversible posets. Mathematica Slovaca, 66(3), 539-544. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0155
O vydaní:
Publikované: 1. 6. 2016