A generalized global differential calculus : application to invariance under a Lie group. I

Joseph Johnson

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1986)

  • Volume: 27, Issue: 3, page 25-83
  • ISSN: 1245-530X

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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 27.3 (1986): 25-83. <http://eudml.org/doc/91383>.

@article{Johnson1986,
author = {Johnson, Joseph},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {sober spaces; X manifolds; universal algebra; inverse semigroup; admissible manifolds; topological universes; cohesive universes; tangent spaces},
language = {eng},
number = {3},
pages = {25-83},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {A generalized global differential calculus : application to invariance under a Lie group. I},
url = {http://eudml.org/doc/91383},
volume = {27},
year = {1986},
}

TY - JOUR
AU - Johnson, Joseph
TI - A generalized global differential calculus : application to invariance under a Lie group. I
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1986
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 27
IS - 3
SP - 25
EP - 83
LA - eng
KW - sober spaces; X manifolds; universal algebra; inverse semigroup; admissible manifolds; topological universes; cohesive universes; tangent spaces
UR - http://eudml.org/doc/91383
ER -

References

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  1. 1 Schubert, H., Categories, Springer, 1972. Zbl0253.18002MR349793
  2. 2 Petrich, M., Introduction to Semigrops, Charles E. Merrill Publ. C°, Bell & Howell, Columbus, Ohio, 1973. Zbl0321.20037MR393206
  3. 3 Petrich, M., Inverse semigroups, Wiley, New York1984. Zbl0546.20053MR752899
  4. 4 Macshane E.J., Order-preservin maps and integration processes, Ann. of Math. Studies31, Princeton Univ. Press, 1953. Zbl0051.29301MR56064
  5. 5 Wraith. G.C., Lectures on elementary topoi, Lecture Notes in Math.445, Springer (1975). Zbl0323.18005MR393179
  6. 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. Zbl0097.37803MR95894
  7. 7 Grauert, H.& Remmert, R., Coherent analytic sheaves, Grundlagen d. Math. Wissensch., Springer, 1984. Zbl0537.32001MR755331
  8. 8 Johnson, J., Order for systems of differential equations and a generalization of the notion of differential ring, J. of Algebra78 (1982), 91-119. Zbl0496.12019MR677713
  9. 9 Moerdijk, I. & Reyes, G.E., Rings of smooth functions and their localizations. I (to appear). Zbl0592.18005MR837547
  10. 10 Kock, A., Synthetic Differential Geometry, Cambridge Univ. Press, 1981. Zbl0466.51008MR649622
  11. 11 Palais, R., Slices and invariant embeddings, in Seminar on transformation groups (ed. A. Borel), Ann. of Math. Studies46, Princeton Univ. Press, 1960. MR116341
  12. 12 Nemytskii, V.V.& Stepanov, V.V., Qualitative theory of differential equations, Princeton Univ. Press, 1960. Zbl0089.29502MR121520

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