caa a22 4500 467899746 CHVBK 20180406152814.0 cr unu---uuuuu 170328e20060801xx s 000 0 eng 10.1007/s00012-006-1955-3 doi (NATIONALLICENCE)springer-10.1007/s00012-006-1955-3 The Mysterious 2-Crown [Elektronische Daten] [Richard Ball, Aleš Pultr, Jiří Sichler] Abstract.: We show that the 2-crown is not coproductive, which is to say that the class of those bounded distributive lattices whose Priestley spaces lack any copy of the 2-crown is not productive. We do this by first exhibiting a general construction to handle questions of this sort. We then use a particular instance of this constrution, along with some of the combinatorial features of projective planes, to show that the 2-crown is not coproductive. Birkhäuser Verlag, Basel, 2007 distributive lattice nationallicence Priestley duality nationallicence poset nationallicence first-order definable nationallicence Ball Richard Department of Mathematics, University of Denver, 80208, Denver, CO, USA aut Pultr Aleš Department of Applied Mathematics and ITI, MFF, Charles University, Malostranské nám. 25, CZ 11800, Praha 1, Czech Republic aut Sichler Jiří Department of Mathematics, University of Manitoba, R3T 2N2, Winnipeg, Canada aut algebra universalis Birkhäuser-Verlag; www.birkhauser.ch 55/2-3(2006-08-01), 213-226 0002-5240 55:2-3<213 2006 55 12 https://doi.org/10.1007/s00012-006-1955-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00012-006-1955-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ball Richard Department of Mathematics, University of Denver, 80208, Denver, CO, USA aut NATIONALLICENCE 700 1- Pultr Aleš Department of Applied Mathematics and ITI, MFF, Charles University, Malostranské nám. 25, CZ 11800, Praha 1, Czech Republic aut NATIONALLICENCE 700 1- Sichler Jiří Department of Mathematics, University of Manitoba, R3T 2N2, Winnipeg, Canada aut NATIONALLICENCE 773 0- algebra universalis Birkhäuser-Verlag; www.birkhauser.ch 55/2-3(2006-08-01), 213-226 0002-5240 55:2-3<213 2006 55 12 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer