Homología efectiva y sucesión espectral de Eilenberg-Moore
- Eladio Domínguez Murillo Directeur/trice
- Francis Sergeraert Directeur/trice
Université de défendre: Universidad de Zaragoza
Fecha de defensa: 26 septembre 1988
- José Luis Viviente Mateu President
- Francisco Gómez Ruiz Secrétaire
- José Luis Navarro Segura Rapporteur
- Manuel Castellet Solanas Rapporteur
- Jaume Aguadé Bover Rapporteur
Type: Thèses
Résumé
In this memoir the computability of the effective homology of fibrations is studied. In Chapter 0, the basic notations about effective homology, simplicial sets and computability are introduced. In Chapter 1, an "effective version" of the Eilenberg-Moore spectral sequence is defined. Using this spectral sequence, we give in Chapter 2 an algorithm computing the effective homology of the fiber for a simplicial fibration E? B where B is simply connected and the effective homology of E and B are known. In the last Chapter, by using the above results and the acyclic models method, we find an algorithm computing the effective homology of the simplicial loop space of a simply connected simplicial set whose effective homology is known.