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Track Groups (II)
Author(s) -
Barratt M. G.
Publication year - 1955
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s3-5.3.285
Subject(s) - citation , mathematics , track (disk drive) , computer science , library science , operating system
Introduction IN a previous paper ((1), hereafter referred to as I) we defined the Track Groups (P, Q){X, x0; x0) of a pair [P, Q], where Q is closed in P, and x0 is a point of X, for ra ^ 1. If K is an (w+l)-dimensional CW-complex with but one vertex, and K~ is its (n—l)th skeleton, we showed that the group (K,K-){X,XQ,xQ), written (n-\-l,n— l) , is a central extension of J^+Vm+n+i) by H"(7Tm+n), where H*{G) = H*{K,Z«-i; 0), and