A generalized global differential calculus : application to invariance under a Lie group. I
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 27 (1986) no. 3, pp. 25-83.
partie suivante A generalized global differential calculus. II. Application to invariance under a Lie group 
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     author = {Johnson, Joseph},
     title = {A generalized global differential calculus : application to invariance under a {Lie} group. {I}},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     pages = {25--83},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {27},
     number = {3},
     year = {1986},
     mrnumber = {866930},
     zbl = {0603.18004},
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     url = {http://archive.numdam.org/item/CTGDC_1986__27_3_25_0/}
}
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Johnson, Joseph. A generalized global differential calculus : application to invariance under a Lie group. I. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 27 (1986) no. 3, pp. 25-83. http://archive.numdam.org/item/CTGDC_1986__27_3_25_0/

1 Schubert, H., Categories, Springer, 1972. | MR | Zbl

2 Petrich, M., Introduction to Semigrops, Charles E. Merrill Publ. C°, Bell & Howell, Columbus, Ohio, 1973. | MR | Zbl

3 Petrich, M., Inverse semigroups, Wiley, New York 1984. | MR | Zbl

4 Macshane E.J., Order-preservin maps and integration processes, Ann. of Math. Studies 31, Princeton Univ. Press, 1953. | MR | Zbl

5 Wraith. G.C., Lectures on elementary topoi, Lecture Notes in Math. 445, Springer (1975). | MR | Zbl

6 Ehresmann, C., Gattungen von lokalen Strukturen, Jahres. d. Deutschen Math. 60-2 (1957); re-edited in Charles Ehresmann; Oeuvres complètes et commentées, Part II, Amiens, 1983. | MR | Zbl

7 Grauert, H.& Remmert, R., Coherent analytic sheaves, Grundlagen d. Math. Wissensch., Springer, 1984. | MR | Zbl

8 Johnson, J., Order for systems of differential equations and a generalization of the notion of differential ring, J. of Algebra 78 (1982), 91-119. | MR | Zbl

9 Moerdijk, I. & Reyes, G.E., Rings of smooth functions and their localizations. I (to appear). | MR | Zbl

10 Kock, A., Synthetic Differential Geometry, Cambridge Univ. Press, 1981. | MR | Zbl

11 Palais, R., Slices and invariant embeddings, in Seminar on transformation groups (ed. A. Borel), Ann. of Math. Studies 46, Princeton Univ. Press, 1960. | MR

12 Nemytskii, V.V.& Stepanov, V.V., Qualitative theory of differential equations, Princeton Univ. Press, 1960. | MR | Zbl