Free loop spaces and cyclohedra

0175286 - MU-W 20030038 RIV IT eng J - Článek v odborném periodiku
Markl, Martin
Free loop spaces and cyclohedra.
Supplemento ai Rendiconti del Circolo Matematico di Palermo. Roč. 71, - (2003), s. 151-157
Grant CEP: GA AV ČR IAA1019203
Výzkumný záměr: CEZ:AV0Z1019905; CEZ:AV0Z1019905
Klíčová slova: cyclohedron * free loop space * recognition
Kód oboru RIV: BA - Obecná matematika

In this note we introduce an action of module of cyclohedra on the free loop space. We will then discuss how this action can be used in an appropriate recognition principle in the same manner as the action of Stasheffďs associahedra can be used to recognize based loop spaces. We will also interpret one result of R.L. Cohen as an approximation theorem, in the spirit of Beck and May,....
Trvalý link: http://hdl.handle.net/11104/0072270