Author | Kushkuley, Alexander. author |
---|---|

Title | Geometric Methods in Degree Theory for Equivariant Maps [electronic resource] / by Alexander Kushkuley, Zalman Balanov |

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1996 |

Connect to | http://dx.doi.org/10.1007/BFb0092822 |

Descript | VI, 142 p. online resource |

SUMMARY

The book introduces conceptually simple geometric ideas based on the existence of fundamental domains for metric G- spaces. A list of the problems discussed includes Borsuk-Ulam type theorems for degrees of equivariant maps in finite and infinite dimensional cases, extensions of equivariant maps and equivariant homotopy classification, genus and G-category, elliptic boundary value problem, equivalence of p-group representations. The new results and geometric clarification of several known theorems presented here will make it interesting and useful for specialists in equivariant topology and its applications to non-linear analysis and representation theory

CONTENT

Fundamental domains and extension of equivariant maps -- Degree theory for equivariant maps of finite-dimensional manifolds: Topological actions -- Degree theory for equivariant maps of finite-dimensional manifolds: Smooth actions -- A winding number of equivariant vector fields in infinite dimensional banach spaces -- Some applications

Mathematics
Global analysis (Mathematics)
Manifolds (Mathematics)
Differential geometry
Algebraic topology
Mathematics
Algebraic Topology
Differential Geometry
Global Analysis and Analysis on Manifolds