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Analyse dans les topos lisses. (French) Zbl 0486.18011


MSC:

18B25 Topoi
18F15 Abstract manifolds and fiber bundles (category-theoretic aspects)
51K10 Synthetic differential geometry
57P99 Generalized manifolds
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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
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