EXTENSIONS OF THE BORSUK-ULAM THEOREM

In this paper we give a generalization of the well-known Borsuk-Ulam theorem and its extensions to countably many products of spheres.

Comm. Pure Appl. Math. v.34 A geometrical index for the group S¹ and some applications to the study of periodic solutions of ordinary differential equations V. Benci
Comm. Pure Appl. Math. v.38 Existence of multiple periodic orbits on star-shaped Hamiltonian surfaces H. Berestycki;J. M. Lasry;G. Mancini;B. Ruf
Topology and geometry G. E. Bredon
Almost periodic functions C. Corduneanu
Contemp. Math. v.19 Simple proofs of some Borsuk-Ulam results A. Dold
Invent. Math. v.45 Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems E. R. Fadell;P. H. Rabinowitz
Doctoral Thesis Zu einer Indextheorie f¨ur fastperiodische Aktionen I. S. Kim
Critical point theory and Hamiltonian systems J. Mawhin;M. Willem
Aufl. v.4 Irrationalzahlen O. Perron
Topol. Methods Nonlinear Anal. v.1 Spheres and symmetry: Borsuk’s antipodal theorem H. Steinlein