Order of a homotopy invariant in the stable case - Mathematics > Algebraic TopologyReportar como inadecuado




Order of a homotopy invariant in the stable case - Mathematics > Algebraic Topology - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: Let X and Y be CW-complexes, U be an abelian group, and f:X,Y->U be a mapa homotopy invariant. We say that f has order at most r if the characteristicfunction of the r-th Cartesian power of the graph of a continuous map a:X->YZ-linearly determines fa. Suppose that the CW-complex X is finite and weare in the stable case: dim X<2n-1 and Y is n-1-connected. We prove that thenthe order of f equals its degree with respect to the Curtis filtration of thegroup X,Y.



Autor: S. S. Podkorytov

Fuente: https://arxiv.org/







Documentos relacionados