64 citations · 420 across the 98 of their papers we have counts for
6 papers · 2 filters
Twisted Simplicial Groups and Twisted Homology of Categories
J. Y. Li, V. V. Vershinin, J. Wu
Let be either a simplicial complex or a small category with as its set of vertices or objects. We define a twisted structure on with coefficients in…
On nontriviality of homotopy groups of spheres
Sergei O. Ivanov, Roman Mikhailov, Jie Wu
For , the homotopy groups are non-zero.
A combinatorial approach to the exponents of Moore spaces
Frederick R. Cohen, Roman Mikhailov, Jie Wu
In this article, we give a combinatorial approach to the exponents of the Moore spaces. Our result states that the projection of the -th power map of the loop space of the…
On the metastable homotopy of mod 2 Moore spaces
Roman Mikhailov, Jie Wu
In this article, we study the exponents of metastable homotopy of mod Moore spaces. Our result gives that the double loop space of -dimensional mod Moore spaces has a m…
Leibniz rule on higher pages of unstable spectral sequences
Sergei O. Ivanov, Roman Mikhailov, Jie Wu
A natural composition on all pages of the lower central series spectral sequence for spheres is defined. Moreover, it is defined for -lower central series spectral seque…
Loop homological invariants associated to real projective spaces
Man Gao, Colin Tan, Jie Wu
Let A be a based subspace of Y. Under the assumptions that Y is path-connected and that the reduced diagonal map of A induces the zero map in all mod 2 reduced homology groups, we…