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Calculations of cylindrical p-homotopy groups

Published online by Cambridge University Press:  20 January 2009

R. Ayala ,
E. Domínguez  and
A. Quintero
R. Ayala
Affiliation:
Departamento de Geometría Y TopologíaFacultad de matemáticasUniversidad de Sevilla41012 Sevilla, Spain
E. Domínguez
Affiliation:
Departamento de Geometría Y TopologíaFacultad de matemáticasUniversidad de Sevilla41012 Sevilla, Spain
A. Quintero
Affiliation:
Departamento de MatemáticasFacultad de CienciasUniversidad de Zaragoza50009 Zaragoza, Spain
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The definitions of the various proper homotopy groups correspond to three main geometrical ideas: sequences of spheres converging to a Freudenthal end (Brown groups); infinite cylinders giving the mobility of spheres towards a proper end (Čerin-Steenrod groups); sequences of spheres, each one movable to the next one following a proper end (Čech groups). The Brown and Čech groups have a rather complex structure and the calculations of these groups are very difficult (see [4]). The Čerin-Steenrod groups have a much simpler structure and this fact eases the computations.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 32 , Issue 3 , October 1989 , pp. 401 - 413
Copyright
Copyright © Edinburgh Mathematical Society 1989

References

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