Kennedy, Judy A.; Kopperman, Ralph D.; Wilson, Richard G.(Universitat Politècnica de València, 2001-10-01)
[EN] We show that the chainable continua (also called snake-like or arc-like)continua, are precisely the Hausdorff reflections of inverse limits of sequences of finite COTS under maps which are continuous and are separating.
Balibrea, Francisco; Valverde Fajardo, Jose C.(Universitat Politècnica de València, 2001-10-01)
[EN] This paper is devoted to study the topological normal forms of families of maps on R which, under nondegeneracy conditions of high degree, also present the simplest bifurcations.
Mynard, Frédéric(Universitat Politècnica de València, 2001-10-01)
[EN] Several (old and new) results on stability of quotients (of various types) under product, on sequentiality of product of sequential spaces, on relationships between a topology and the upper Kuratowski convergence on ...
Dikranjan, Dikran(Universitat Politècnica de València, 2001-10-01)
[EN] The Bohr topology of an Abelian group G is the initial topology on G with respect to the family of all homomorphisms of G into the circle group. The group G equipped with the Bohr topology is denoted by G#. It was an ...
Torres Falcón, Yolanda(Universitat Politècnica de València, 2001-10-01)
[EN] We consider the following problem: If a topological group G is the union of an increasing chain of subgroups and certain cardinal invariants of the subgroups in the chain are known, what can be said about G? We prove ...