Reyes, Gonzalo E. Analyse dans les topos lisses. (French) Zbl 0486.18011 Cah. Topol. Géom. Différ. 22, 155-160 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 18B25 Topoi 18F15 Abstract manifolds and fiber bundles (category-theoretic aspects) 51K10 Synthetic differential geometry 57P99 Generalized manifolds Keywords:Weil algebras; W-determined ideals; synthetic differential geometry; analytic properties of topoi Citations:Zbl 0375.12029; Zbl 0415.51009 PDFBibTeX XMLCite \textit{G. E. Reyes}, Cah. Topologie Géom. Différ. Catégoriques 22, 155--160 (1981; Zbl 0486.18011) Full Text: Numdam EuDML References: [1] 1 E. Dubuc , Sur les modèles de la Géométrie différentielle synthétique , Cahiers Topo. et Géom. Diff. XX - 3 ( 1979 ), 231 - 279 . Numdam | MR 557083 | Zbl 0473.18008 · Zbl 0473.18008 [2] 2 E. Dubuc , C\infty -schemes, Preprint Series Aarhus Universitet 1979 / 80 , n^\circ 3 . Cf. aussi [9], Exposé 3. Zbl 0428.58001 · Zbl 0428.58001 [3] 3 J. Emsalem , Géométrie des points épais , Bull. S. M. F. 106 ( 1978 ), 399 - 416 . Numdam | MR 518046 | Zbl 0396.13017 · Zbl 0396.13017 [4] 4 A. Kock , A simple axiomatics for differentiation , Math. Scand. 40 ( 1977 ), 183 - 193 . Article | MR 453845 | Zbl 0375.12029 · Zbl 0375.12029 [5] 5 A. Kock & G.E. Reyes , Models for synthetic integration theory , preprint 1980 . MR 631331 · Zbl 0415.51009 [6] 6 A. Kock , G.E. Reyes & B. Veit , Forms and integration insynthetic differential geometry , Preprint Series Aarhus Universitet 1979 / 80 , n^\circ 31 . MR 552662 | Zbl 0465.51005 · Zbl 0465.51005 [7] 7 F.W. Lawvere , Categorical Dynamics , Various Publication Series, Aarhus Un ivers ite n^\circ 3 ( 1979 ). MR 552656 | Zbl 0403.18005 · Zbl 0403.18005 [8] 8 B. Malgrange , Ideals of differentiable functions , Oxford , 1966 . MR 212575 | Zbl 0177.17902 · Zbl 0177.17902 [9] 9 G. E. REYES, Editeur, Géométrie Différentielle Synthétique , Fascicules 1 et 2 , Rapports de Recherches du DM S 80-11, 80-12, Univ. de Montréal , 1980 . [10] 10 C.O. Zariski & P. Samuel , Commutative Algebra , Vol. II , GTM Springer , 1975 . MR 389876 | Zbl 0322.13001 · Zbl 0322.13001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.