The group (Mm(A) v Mn()) of homotopy self-equivalence classes of two Moore spaces is faithfully represented onto a (multiplicative) group of matrices for nm3. We consider, in this note, related representations of (Mm()vMn()), for finitely generated and in the case where n4, and also ...
Stable Homotopy Groups of Moore SpacesMoore spacesStable homotopy groupsEquivalence of categoriesPrimary 55Q10Secondary 55U2018G99Bordism of S 1-vector bundles with additional structures We give isomorphisms between equivariant bordism groups of certain S 1-vector bundles and bordism groups of suitable "...
On the metastable homotopy of mod 2 Moore spaces In this article, we study the exponents of metastable homotopy of mod $2$\nMoore spaces. Our result gives that the double loop space of $4n$-dimensional\nmod $2$ Moore spaces has a multiplicative exponent $4$ below the range of $4$\n...
来自 国家科技图书文献中心 喜欢 0 阅读量: 22 作者: S Manfred 摘要: It is shown that rationally hyperbolic spaces do not admit a homotopy exponent for their homotopy groups at almost all primes. 关键词: MOORE DOI: 10.1093/qmath/hai014 年份: 2006 ...
In all the families of spaces considered here, we establish a conjecture of J. C. Moore.doi:10.1016/j.aim.2018.08.006Basu, SamikBasu, SomnathElsevier ScienceAdvances in MathematicsS. Basu and S. Basu, Homotopy groups of highly connected manifolds. available at http://arxiv.org/abs/...
SELF-HOMOTOPY EQUIVALENCES OF MOORE SPACES DEPENDING ON COHOMOTOPY GROUPS Given a topological space X and a non-negative integer k, epsilon(#)(k)(X) is the set of all self-homotopy equivalences of X that do not change maps from X... HW Choi,KY Lee,HS Oh - Korean Mathematical Society...
groups with the rationals. For many nonfinitely generated groups, homotopy groups can be defined by a direct limit of homotopy groups with coefficients from finitely generated subgroups. This depends on having sufficient functoriality in the Peterson spaces of the coefficient subgroups...
In this second part we show that the homotopy groups of a simplicial abelian Hopf algebra support a very rich and rigid structure. This has implications for the cohomology spectral sequence of a variety of cosimplicial spaces. (See, for example, the work of the second author 20], or Dwyer...
On H-spaces and their homotopy groups Not Available IM James - 《Quarterly Journal of Mathematics》 被引量: 174发表: 1960年 On relations between Adams spectral sequences, with an application to the stable homotopy of a moore space CiteSeerX - Scientific documents that cite the following paper:...
IllinoisiiiWhatisinthisbookandwhatisnotThepurposeofthisbookistopresentthosetechniquesofalgebraictopologywhichareneededinthepresentationoftheresultsontheexponentsofho-motopygroupswhichwereprovenbyCohen,Moore,andtheauthor.Itwasdecidedthatallofthedetailsofthosetechniqueswouldbecompletelyandhonestlypresented.Homotopygroups...