Analytic partial orders and oriented graphs

Alain Louveau

Fundamenta Mathematicae (2006)

  • Volume: 192, Issue: 3, page 233-243
  • ISSN: 0016-2736

Abstract

top
We prove that there is no maximum element, under Borel reducibility, in the class of analytic partial orders and in the class of analytic oriented graphs. We also provide a natural jump operator for these two classes.

How to cite

top

Alain Louveau. "Analytic partial orders and oriented graphs." Fundamenta Mathematicae 192.3 (2006): 233-243. <http://eudml.org/doc/282777>.

@article{AlainLouveau2006,
abstract = {We prove that there is no maximum element, under Borel reducibility, in the class of analytic partial orders and in the class of analytic oriented graphs. We also provide a natural jump operator for these two classes.},
author = {Alain Louveau},
journal = {Fundamenta Mathematicae},
keywords = {analytic partial orders; analytic graphs; Borel reducibility},
language = {eng},
number = {3},
pages = {233-243},
title = {Analytic partial orders and oriented graphs},
url = {http://eudml.org/doc/282777},
volume = {192},
year = {2006},
}

TY - JOUR
AU - Alain Louveau
TI - Analytic partial orders and oriented graphs
JO - Fundamenta Mathematicae
PY - 2006
VL - 192
IS - 3
SP - 233
EP - 243
AB - We prove that there is no maximum element, under Borel reducibility, in the class of analytic partial orders and in the class of analytic oriented graphs. We also provide a natural jump operator for these two classes.
LA - eng
KW - analytic partial orders; analytic graphs; Borel reducibility
UR - http://eudml.org/doc/282777
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.