## Antipodal points and fixed pointsResearch Institute of Mathematics, Global Analysis Research Center, Seoul National University, 1995 - Mathematics - 97 pages |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

BorsukUlam theorem for Stiefel manifolds | 8 |

Parametrized BorsukUlam theorem for multivalued maps | 18 |

A settheoretic approach | 35 |

4 other sections not shown

### Other editions - View all

### Common terms and phrases

1-local retract accretive acyclic algebra Amer Anal antipodal applications Baillon Banach space Borsuk Borsuk-Ulam theorem bounded closed convex bounded metric space Brouwer fixed point Brouwer theorem Browder Caristi's closed and convex closed balls closed convex subset cohomology common fixed point commuting families compact convex subset continuous map convex sets convex spaces convex subset countably compact defined denote dimension equations equivalent exists fibre preserving map finite fixed point property fixed point set fixed point theorem fixed-point functional analysis geometric Granas Grassmann manifolds integer intersection Kakutani Kaniel KKM theorem Lemma Leray-Schauder locally convex Math Mathematics metric fixed point minimal monomials multi-valued maps nonempty bounded nonexpansive mappings nonexpansive retract Nonlinear obtain orbit space polynomial Proc proof proved reflexive Reich Rm+n Schauder Section Sperner Stiefel manifolds Stiefel-Whitney classes subspace Suppose theory topological vector space topology variational inequality Vm(E Vm(Rm+n ZFDC