论文信息 - On the realizability of homotopy groups and their operations

On the realizability of homotopy groups and their operations

be a given sequence of abstract groups. All groups except the first one are abelian and additive, while 77£ is written multiplicatively. There are given two kinds of operations between these groups. First, the group 77! operates on the left of every group 77̂ with n > 2. Secondly, for arbitrary elements (A G?7m, β G 7 7 ^ m > 2, n > 2, a bilinear product GC ° β is defined and is an element of the group

Sze-Tsen Hu | Sze-Tsen Hu

[1] Stefan Friedl. Algebraic topology , 2020, Graduate Studies in Mathematics.

[2] Richard Bellman,et al. Recurrence times for the Ehrenfest model. , 1951 .

[3] W. Karush. An iterative method for finding characteristic vectors of a symmetric matrix , 1951 .

[4] Samuel Eilenberg,et al. SEMI-SIMPLICIAL COMPLEXES AND SINGULAR HOMOLOGY , 1950 .

[5] G. Whitehead,et al. A Generalization of the Hopf Invariant. , 1946, Proceedings of the National Academy of Sciences of the United States of America.

[6] S. Maclane,et al. Relations Between Homology and Homotopy Groups of Spaces. II , 1945 .

[7] John B. Giever,et al. ON THE EQUIVALENCE OF TWO SINGULAR HOMOLOGY THEORIES , 1950 .

[8] Samuel Eilenberg,et al. On the relation between the fundamental group on a space and the higher homotopy groups , 1939 .

[9] J. Whitehead. Simplicial Spaces, Nuclei and m‐Groups , 1939 .