QUINTERO TOSCANO , Antonio Rafael

Extendemos los teoremas de doble suspensión de Edwards y Cannon a ciertas bolas de homología simplemente conexas. Como consecuencia, damos una caracterización de las variedades de homología con borde que son variedades topológicas. Estos resultados corrigen los presentados en QUINTERO, A.: (1982) "Relación entre las variedades de homología y...

En este artículo probamos que las variedades de homología (HML-variedades) definen una teoría de bordismo singular que es la teoría de homología generalizada asociada al Espectro de Martin. Usando ios números característicos singulares relacionamos el HML-bordismo singular y el DIF-bordismo singular. Finalmente, probamos que el HML-bordismo...

In this paper we define the CPL-manifolds and we prove, by using a desingularization procedure, that these objects give a bordism theory which is equivalente to the PL-bordism. It's interesting to note that the famíly CPL of the CPL-manifolds is not closed to taking topological cilynders.

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This note gives conditions which assure that the one-point compactification of an open manifold is a manifold. This result is used to show that the homotopical characterization of Rn (n ≥ 4) can be derived from the Poincaré Conjecture.

In the classical paper [A-H] Adams-Hilton constructed a free chain algebra which is an important algebraic model of a simply connected homotopy type. We show that this chain algebra (endowed with an additional structure given by a "height function") yields actually an invariant of a proper homotopy type. For this we introduce the homotopy...

The purpose of this note is to prove the exponential law for uniformly continuous proper maps.

This paper gives an axiomatical approximation to Bordism Theory. It proves those properties of a geometrical nature that a class of models must satisfy to develop a bordism theory in an abstract category.

Direccion General de Investigacion Cientifica y Tecnica

Moore spaces are de ned in proper homotopy theory. Some results on the existence and uniqueness of those spaces are proven. An example of two non properly equivalent Moore spaces is given.

Dirección General de Investigación Científica y Técnica DGICYT PB92-0672