Moore spaces in proper homotopy
نویسندگان
چکیده
منابع مشابه
Nonsplit Ring Spectra and Products of ^-elements in the Stable Homotopy of Moore Spaces
In [4] and [6], S. Oka showed that Kr is a ring spectrum for r > 1 if r = 0 (mod p) it is called a split ring spectrum since Kr Λ Kr splits into four summands Kr, ΣKr, Σ r«+ιKr, Σ r«+2Kr. If r φ 0 (mod p), it is called a nonsplit ring spectrum since Krl\Kr splits only into three summands Kr, ΣLΛKr, Σ rq+2Kr, where L is the cofibre of 0i = jaie πrq_χS. In the nonsplit case, S. Oka showed in [4] ...
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The homotopy category of Moore spaces in degree 2 represents a nontrivial cohomology class in the cohomology of the category of abelian groups. We describe various properties of this class. We use James–Hopf invariants to obtain explicitly the image category under the functor chain complex of the loop space. An abelian group A determines the Moore space M(A) = M(A, 2) which up to homotopy equiv...
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for an arbitrary original polygon P . Further, no other relations Pn_p = 0 (p7*pi or p2 • or £jfc) are satisfied by P ' if P remains general ( P ' has no higher than the &th degree of regularity). This is also seen from (16'), where 0(co) ^ 0 , Rn-P^0 (since P is general) ; therefore P ' n _ ^ 0 . In fact, no relations of any kind besides (18) are satisfied by P' = MP if P remains general. This...
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ژورنال
عنوان ژورنال: Tsukuba Journal of Mathematics
سال: 1995
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1496162871