Geodesic
Quasiorders, Tolerance Relations and Corresponding “Partitions”
Bulletin of the Section of Logic, Tome 45 (2016) no. 2.

Voir la notice de l'article provenant de la source Library of Science

The paper deals with a generalization of the notion of partition for wider classes of binary relations than equivalences: for quasiorders and tolerance relations. The counterpart of partition for the quasiorders is based on a generalization of the notion of equivalence class while it is shown that such a generalization does not work in case of tolerances. Some results from [5] are proved in a much more simple way. The third kind of “partition” corresponding to tolerances, not occurring in [5], is introduced.
Keywords: partition, quasiorder, tolerance relation 
@article{BSL_2016_45_2_a3,
     author = {Nowak, Marek},
     title = {Quasiorders, {Tolerance} {Relations} and {Corresponding} {{\textquotedblleft}Partitions{\textquotedblright}}},
     journal = {Bulletin of the Section of Logic},
     publisher = {mathdoc},
     volume = {45},
     number = {2},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BSL_2016_45_2_a3/}
}
TY  - JOUR
AU  - Nowak, Marek
TI  - Quasiorders, Tolerance Relations and Corresponding “Partitions”
JO  - Bulletin of the Section of Logic
PY  - 2016
VL  - 45
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BSL_2016_45_2_a3/
LA  - en
ID  - BSL_2016_45_2_a3
ER  - 
%0 Journal Article
%A Nowak, Marek
%T Quasiorders, Tolerance Relations and Corresponding “Partitions”
%J Bulletin of the Section of Logic
%D 2016
%V 45
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BSL_2016_45_2_a3/
%G en
%F BSL_2016_45_2_a3
Nowak, Marek. Quasiorders, Tolerance Relations and Corresponding “Partitions”. Bulletin of the Section of Logic, Tome 45 (2016) no. 2. http://geodesic.mathdoc.fr/item/BSL_2016_45_2_a3/