Parametric homotopy principle of some partial differential relations

Mahuya Datta; Amiya Mukherjee

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 4, page 411-421
  • ISSN: 0139-9918

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Datta, Mahuya, and Mukherjee, Amiya. "Parametric homotopy principle of some partial differential relations." Mathematica Slovaca 48.4 (1998): 411-421. <http://eudml.org/doc/34481>.

@article{Datta1998,
author = {Datta, Mahuya, Mukherjee, Amiya},
journal = {Mathematica Slovaca},
keywords = {equivariant parametric homotopy principle; transversality; immersion; submersion; partial differential relation},
language = {eng},
number = {4},
pages = {411-421},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Parametric homotopy principle of some partial differential relations},
url = {http://eudml.org/doc/34481},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Datta, Mahuya
AU - Mukherjee, Amiya
TI - Parametric homotopy principle of some partial differential relations
JO - Mathematica Slovaca
PY - 1998
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 48
IS - 4
SP - 411
EP - 421
LA - eng
KW - equivariant parametric homotopy principle; transversality; immersion; submersion; partial differential relation
UR - http://eudml.org/doc/34481
ER -

References

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  1. BIERSTONE E., The equivariant covering homotopy property for differentiable G-fibre bundles, J. Differential Geom. 8 (1973), 615-622. (1973) Zbl0286.57023MR0341509
  2. BIERSТONE E., Equivariant Gromov theory, Тopology 13 (1974), 327-345. (1974) MR0353334
  3. FEIТ S., k-mersions of manifolds, Acta Math. 122 (1969), 173-195. (1969) MR0243541
  4. GROMOV M., Partial Differential Relations, Ergeb. Math. Gгenzgeb. (3) 9, Springer-Verlag, Berlin, 1986. (1986) Zbl0651.53001MR0864505
  5. HIRSCH M., Immersions of manifolds, Тrans. Amer. Math. Soc. 93 (1959), 242-276. (1959) Zbl0113.17202MR0119214
  6. IZUMIYA S., Homotopy classification of equivariant regular sections, Manuscripta Math. 28 (1979), 337-360. (1979) Zbl0412.58013MR0538421
  7. PEТRIE Т.-RANDALL J. D., Transformation Groups on Manifolds, Monogr. Тextbooks Pure Appl. Math. 82, Marcel Dekker, Inc, New York, 1984. (1984) MR0748850
  8. PHILLIPS A., Submersions of open manifolds, Тopology 6 (1967), 170-206. (1967) Zbl0204.23701MR0208611
  9. SMALE S., The classification of immersions of spheres in Euclidean spaces, Ann. of Math. (2) 69 (1959), 327-344. (1959) Zbl0089.18201MR0105117

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