A Relation Between S1 and S3-Invariant Homotopy In The Stable Range

Autor:	Shirley M. F. Gilbert, Peter Zvengrowski
Rok vydání:	1992
Předmět:	Pure mathematics Range (mathematics) General Mathematics Homotopy Mathematical analysis ComputingMethodologies_DOCUMENTANDTEXTPROCESSING Whitehead theorem Invariant (mathematics) Mathematics
Zdroj:	Canadian Mathematical Bulletin. 35:75-80
ISSN:	1496-4287 0008-4395
DOI:	10.4153/cmb-1992-011-5
Popis:	For any X and any q > 0, one has natural inclusions where the groups S1 and S3 act on S4q-1 in the standard way and are the G-invariant homotopy subsets, G = S1 or G = S3. It is proved here that for any space X of the homotopy type of a CW-complex and for π4q-1 (X) in the c3 cl stable range, the inclusion is m fact an equality when localized away from the prime 2.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7c57c98db0eb1bb7ef5ca8bde1401b75 https://doi.org/10.4153/cmb-1992-011-5 Zobrazit plný text záznamu