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On the Nielsen fixed point theory for multivalued mappings

Zdzisław Dzedzej (1999)

Banach Center Publications

We present J. Jezierski's approach to the Nielsen fixed point theory for a broad class of multivalued mappings [Je1]. We also describe some generalizations and different techniques existing in the literature.

On the real cohomology of spaces of free loops on manifolds

Katsuhiko Kuribayashi (1996)

Fundamenta Mathematicae

Let LX be the space of free loops on a simply connected manifold X. When the real cohomology of X is a tensor product of algebras generated by a single element, we determine the algebra structure of the real cohomology of LX by using the cyclic bar complex of the de Rham complex Ω(X) of X. In consequence, the algebra generators of the real cohomology of LX can be represented by differential forms on LX through Chen’s iterated integral map. Let 𝕋 be the circle group. The 𝕋 -equivariant cohomology...

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