Fixed point free equivariant homotopy classes
Dariusz Wilczyński (1984)
Fundamenta Mathematicae
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Dariusz Wilczyński (1984)
Fundamenta Mathematicae
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Shyuichi Izumiya (1979)
Manuscripta mathematica
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Reinhard Schultz (1973)
Mathematische Zeitschrift
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Reinhard Schultz (1973)
Mathematische Zeitschrift
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J.C. Becker (1988)
Mathematische Zeitschrift
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Yoshimi Shitanda, Oda Nobuyuki (1989)
Manuscripta mathematica
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C. Bowszyc (1983)
Fundamenta Mathematicae
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Roland Schwänzl (1982)
Mathematische Zeitschrift
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Antonio Vidal (1988)
Publicacions Matemàtiques
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We work in the smooth category: manifolds and maps are meant to be smooth. Let G be a finite group acting on a connected closed manifold X and f an equivariant self-map on X with f|A fixpointfree, where A is a closed invariant submanifold of X with codim A ≥ 3. The purpose of this paper is to give a proof using obstruction theory of the following fact: If X is simply connected and the action of G on X - A is free, then f is equivariantly deformable rel. A to fixed...
E. N. Dancer, K. Gęba, S. M. Rybicki (2005)
Fundamenta Mathematicae
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Let V be an orthogonal representation of a compact Lie group G and let S(V),D(V) be the unit sphere and disc of V, respectively. If F: V → ℝ is a G-invariant C¹-map then the G-equivariant gradient C⁰-map ∇F: V → V is said to be admissible provided that . We classify the homotopy classes of admissible G-equivariant gradient maps ∇F: (D(V),S(V)) → (V,V∖0).
Bruner, Robert, Greenlees, John (1995)
Experimental Mathematics
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