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Involutions fixing (point)⌣Fn

- P. Pergher, R. Stong
- Mathematics
- 1 March 2001

LetMm be a closed smooth manifold with an involution having fixed set of the form (point)⌣Fn, 0<n<m. The main result of this paper is to establish the upper bound form, for eachn. In the special case… Expand

Z_p-coincidences for maps of spheres into CW complexes

- D. Gonçalves, P. Pergher
- Physics
- 1 December 1998

Coincidences for maps of spaces with finite group actions

- D. Gonçalves, J. Jaworowski, P. Pergher, A. Volovikov
- Mathematics
- 28 November 2004

Let G be a finite group acting freely in a Hausdorff, paracompact, connected and locally pathwise connected topological space X such that Hi(X,Z)=0 for 0<i<m and Hm+1(G,Z)≠0. Let f:X→Y be a map of X… Expand

The Borsuk-Ulam theorem for general spaces

- P. Pergher, D. DE MATTOS, E. L. dos Santos
- Mathematics
- 1 July 2003

Abstract.Let X, Y be topological spaces and
$T : X \rightarrow X$ a free involution. In this context,
a question that naturally arises is whether or not all continuous maps $f : X \rightarrow Y$… Expand

On Z_2 and S^1 free actions on spaces of cohomology type (a,b)

- P. Pergher
- Mathematics
- 2010

Let S1 be the group of unitary complex numbers endowed with the complex multiplication, and Z2 the cyclic group of order two. If X is a topological space, denote by Hi(X,G) its i-th cohomology group… Expand

Borsuk-Ulam theorems and their parametrized versions for spaces of type .a;b/

- D. D. Mattos, P. Pergher, E. L. D. Santos
- Mathematics
- 20 July 2013

Following the second author, H K Singh and T Singh [11] and H K Singh [13], we define a space of type .a; b/ as follow. Let X be a simply connected finite CW complex with Z–cohomology groups… Expand

Two Commuting Involutions Fixing Fn ∪ Fn-1

- P. Pergher, Fábio G. Figueira
- Mathematics
- 3 February 2006

AbstractConsider G=Z22 as the group generated by two commuting involutions, and let
$$\Phi: G \times M \mapsto M$$ be a smooth G-action on a smooth and closed manifold M. Suppose that the fixed point… Expand

Dimensions of fixed point sets of involutions

- P. Pergher, Fábio G. Figueira
- Mathematics
- 1 September 2006

Abstract.Suppose the fixed point set F of a smooth involution T:M → M on a smooth, closed and connected manifold M decomposes into two components Fn and F2 of dimensions n and 2, respectively, with n… Expand

Z k 2-actions fixing RP 2 ∪ RP even

- P. Pergher, A. Ramos, R. D. Oliveira
- 2006

This paper determines, up to equivariant cobordism, all manifolds with Z 2 -action whose fixed point set is RP 2 ∪RP , where n > 2 is even. AMS Classification (2.000 Revision) Primary 57R85;… Expand

Involutions fixing Fn∪F2

- P. Pergher, Fábio G. Figueira
- Mathematics
- 1 August 2006

Abstract Let M m be a closed and smooth manifold with an involution having fixed point set of the form F n ∪ F 2 , where F n and F 2 are submanifolds with dimensions n and 2, respectively, and where… Expand

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