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General Relativity: Affine connections, parallel transport and sprays
Alice B. Toklas se sent imbue de la responsabilité de faire connaître l’oeuvre de son amante, Gertrude Stein, à la mort de celle-ci. Des bouts de souvenirs la harcèlent. Les principaux personnages de cette pièce sont Gertrude Stein, Alice B. Toklas, Picasso et quelques unes de ses compagnes.
AUTOCUBISME DE GERTRUDE STEIN (RESTES MÉTAPHYSIQUES DU SURSIS DE L’INSTANT)
Une minute avant sa mort, Einstein revit des moments de sa vie personnelle et scientifique. Les principaux personnages de cette pièce sont Einstein, Bohr, les deux fils d’Einstein, Mileva, Brecht, Freud, Besso et une journaliste.
Quand l’espace fit perdre son temps au temps ou une minute dans la vie d’Einstein (2007)
G.E. Reyes, Embedding manifolds with boundary in smooth toposes, Cahiers de Top. et Geom. Diff. Catég., (48), 83-103, (2007). We embed fully and faithfully the category of manifolds with boundary in some “smooth” toposes. We show that the embedding preserves open coverings and some products. Furthermore, it sends a Weil’s prolongation of a manifold by a Weil algebra into the embedded manifold raised to the associated infinitesimal space of the algebra. Our main tool is to “double” the manifold with boundary to obtain one without boundary.
Reyes G.E. A model of SDG in which only trivial distributions with compact support have a density. The aim of this note is to show that in the classifier of the theory of real analytic (i.e. C ω-)rings, linear functionals defined on the exponential whose base is the ring of “reals” (i.e., the generic model) and whose exponent is a finite power of this ring and having values in the reals, are trivial in a sense to be specified, provided that they have a density. This was conjectured by Anders Kock.
A model of SDG in which only trivial distributions with compact support have a density
Preliminary version
Une micro-histoire inachevée de l’atome. Une marche inéluctable vers Hiroshima et Nagasaki. Les principaux personnages de cette pièce sont Oppenheimer, Bohr et Groves.
Preliminary version
This is an improved version (in English) of the Porta/Reyes preprint(in French) in the preceeding entry. Its aim is to embedd manifolds with boundary in smooth toposes defined by closed ideals. To appear in Cahiers de Topologie et Géométrie différentielle catégoriques.
Gonzalo E. Reyes - Marie La Palme Reyes 