16 citations · 94 across the 51 of their papers we have counts for
6 papers · 1 filter
Jónsson posets
Roland Assous, Maurice Pouzet
According to Kearnes and Oman (2013), an ordered set is \emph{Jónsson} if it is infinite and the cardinality of every proper initial segment of is strictly less than the ca…
A few characterizations of topological spaces with no infinite discrete subspace
Jean Goubault-Larrecq, Maurice Pouzet
We give several characteristic properties of FAC spaces, namely topological spaces with no infinite discrete subspace. The first one was obtained in 2019 by the first author, and s…
A syntactic approach to the MacNeille completion of , the free monoid over an ordered alphabet
Hans-Jürgen Bandelt, Maurice Pouzet
Let be the free monoid of (finite) words over a not necessarily finite alphabet , which is equipped with some (partial) order. This ordering lifts to , wher…
Interval orders, semiorders and ordered groups
Maurice Pouzet, Imed Zaguia
We prove that the order of an ordered group is an interval order if and only if it is a semiorder. Next, we prove that every semiorder is isomorphic to a collection of…
Operations preserving equivalence relations
Maurice Pouzet
In 2014, Cégielski, Grigorieff and Guessarian characterized unary self-maps on the set of integers which preserve all congruences of the additive group. In this note,…
Free monoids and generalized metric spaces
Mustapha Kabil, Maurice Pouzet, Ivo Rosenberg
Let be an ordered alphabet, be the free monoid over ordered by the Higman ordering, and let be the set of final segments of . With the op…