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Free loop spaces and cyclohedra
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SYSNO ASEP 0175286 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title Free loop spaces and cyclohedra Author(s) Markl, Martin (MU-W) RID, SAI, ORCID Source Title Supplemento ai Rendiconti del Circolo Matematico di Palermo
Roč. 71, - (2003), s. 151-157Number of pages 7 s. Language eng - English Country IT - Italy Keywords cyclohedron ; free loop space ; recognition Subject RIV BA - General Mathematics BA - General Mathematics R&D Projects IAA1019203 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z1019905 - MU-W AV0Z1019905 - MU-W Annotation 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,.... Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2004
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