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A comparison principle and extension of equivariant maps.

Alexander Kushkuley, Zalman Balanov (1994)

Manuscripta mathematica

A Converse to the P.A. Smith Theorem for Nonunitary Homology Spheres.

Reinhard Schultz (1985)

Manuscripta mathematica

A Counterexample to a Conjecture of Steenrod.

Gunnar Carlsson (1981)

Inventiones mathematicae

A note on the theorems of Lusternik-Schnirelmann and Borsuk-Ulam

T. E. Barros, C. Biasi (2008)

Colloquium Mathematicae

Let p be a prime number and X a simply connected Hausdorff space equipped with a free $ℤ_{p}$ -action generated by $f_{p} : X \to X$ . Let $α : S^{2 n - 1} \to S^{2 n - 1}$ be a homeomorphism generating a free $ℤ_{p}$ -action on the (2n-1)-sphere, whose orbit space is some lens space. We prove that, under some homotopy conditions on X, there exists an equivariant map $F : (S^{2 n - 1}, α) \to (X, f_{p})$ . As applications, we derive new versions of generalized Lusternik-Schnirelmann and Borsuk-Ulam theorems.

Actions cycliques libres sur les 3-Q-sphères

Marie Blanc (2001)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Actions de groupes finis sur $S^{3}$ : la conjecture de P. A. Smith

John W. Morgan (1980/1981)

Séminaire Bourbaki