Generalizations of Fox Homotopy Groups, Whitehead Products, and Gottlieb Groups

In this paper, we redefine the torus homotopy groups of Fox and give a proof of the split exact sequence of these groups. Evaluation subgroups are defined and are related to the classical Gottlieb subgroups. With our constructions, we recover the Abe groups and prove some results of Gottlieb for the...

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Bibliographic Details
Date:2005
Main Authors: Golasinski, M., Goncalves, D., Wong, P.
Format: Article
Language:English
Published: Інститут математики НАН України 2005
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/165640
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Generalizations of Fox Homotopy Groups, Whitehead Products, and Gottlieb Groups / M. Golasinski, D. Goncalves, P. Wong // Український математичний журнал. — 2005. — Т. 57, № 3. — С. 320–328. — Бібліогр.: 16 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine