Relative Borsuk-Ulam Theorems for Spaces with a Free ℤ₂-action
Denise de Mattos ; Thaís F. M. Monis ; Edivaldo L. dos Santos
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013), p. 71-77 / Harvested from The Polish Digital Mathematics Library
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Let (X,A) be a pair of topological spaces, T : X → X a free involution and A a T-invariant subset of X. In this context, a question that naturally arises is whether or not all continuous maps f:X→ℝk have a T-coincidence point, that is, a point x ∈ X with f(x) = f(T(x)). In this paper, we obtain results of this nature under cohomological conditions on the spaces A and X.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:281196 
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     author = {Denise de Mattos and Tha\'\i s F. M. Monis and Edivaldo L. dos Santos},
     title = {Relative Borsuk-Ulam Theorems for Spaces with a Free Z2-action},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {61},
     year = {2013},
     pages = {71-77},
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Denise de Mattos; Thaís F. M. Monis; Edivaldo L. dos Santos. Relative Borsuk-Ulam Theorems for Spaces with a Free ℤ₂-action. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) pp. 71-77. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-1-8/