2013/05/22 by Michał Kukieła, Kukieła, Michał
Mathematics · #06A06 #54F99 #Combinatorics (math.CO) #FOS: Mathematics #General Topology (math.GN) #math.CO #math.GN #msc:06A06 #msc:54F99
paper · pdf · doi:10.48550/arxiv.1305.5085
6 pages, 1 figure
arxiv created 2013/05/22 · arxiv updated 2013/05/23
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.