Colibri Comunidad :https://hdl.handle.net/20.500.12008/468692026-05-13T12:10:26Z2026-05-13T12:10:26ZRobustly transitive maps with critical points and large dimensional central spacesMorelli, Juan Carloshttps://hdl.handle.net/20.500.12008/549292026-05-12T12:18:33Z2026-01-01T00:00:00ZTítulo: Robustly transitive maps with critical points and large dimensional central spaces
Autor: Morelli, Juan Carlos
Resumen: Given any triplet of positive integers n ≥ 2, m and k such that
n = m + k, we exhibit a C1 robustly transitive endomorphism of Tn with
persistent critical points in the isotopy class of F ×Id, where F is an expanding
map of Tm and Id is the identity of Tk. Furthermore, if k is small, the map is
not only in the isotopy class but in fact a perturbation of F × Id.2026-01-01T00:00:00ZGeneric homeomorphisms with shadowing of one-dimensional continuaArtigue, AlfonsoCousillas, Gonzalohttps://hdl.handle.net/20.500.12008/549282026-05-12T12:18:20Z2019-01-01T00:00:00ZTítulo: Generic homeomorphisms with shadowing of one-dimensional continua
Autor: Artigue, Alfonso; Cousillas, Gonzalo
Resumen: In this article we show that there are homeomorphisms of plane continua whose conjugacy class is residual and have the shadowing property.2019-01-01T00:00:00ZA fixed point theorem for plane homeomorphisms with the topological shadowing propertyCousillas, Gonzalohttps://hdl.handle.net/20.500.12008/549272026-05-12T12:18:02Z2019-01-01T00:00:00ZTítulo: A fixed point theorem for plane homeomorphisms with the topological shadowing property
Autor: Cousillas, Gonzalo
Resumen: In this paper we show that every homeomorphism of the plane
with the topological shadowing property has a fixed point. Also, we show that
a linear isomorphism of an Euclidean space has the topological shadowing
property if and only if the origin is an attractor or a repeller.2019-01-01T00:00:00ZGraded braided commutativity in Hochschild cohomologyCóppola, JavierSolotar, Andreahttps://hdl.handle.net/20.500.12008/549262026-05-12T12:17:46Z2022-01-01T00:00:00ZTítulo: Graded braided commutativity in Hochschild cohomology
Autor: Cóppola, Javier; Solotar, Andrea
Resumen: We prove the graded braided commutativity of the Hochschild cohomology
of A with trivial coefficients, where A is a braided Hopf algebra in the category of Yetter-
Drinfeld modules over the group algebra of an abelian group, under some finiteness
conditions on a projective resolution of A as A-bimodule. This is a generalization of a
result by Mastnak, Pevtsova, Schauenburg and Witherspoon to a context which includes
Nichols algebras such as the Jordan and the super Jordan plane. We prove this result
by constructing a coduoid-up-to-homotopy structure on the aforementioned projective
resolution in the duoidal category of chain complexes of A-bimodules. We also prove
that the Hochschild complex of a braided bialgebra A in an arbitrary braided monoidal
category is a cocommutative comonoid up to homotopy with the deconcatenation product
which induces the cup product in Hochschild cohomology.2022-01-01T00:00:00Z