Pacific Journal of Mathematics

Abstract Riemannian stratifications.

Giacomo Monti Bragadin

Article information

Source
Pacific J. Math., Volume 133, Number 1 (1988), 31-39.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102689566

Mathematical Reviews number (MathSciNet)
MR936355

Zentralblatt MATH identifier
0652.58005

Subjects
Primary: 58A35: Stratified sets [See also 32S60]
Secondary: 53C70: Direct methods ($G$-spaces of Busemann, etc.) 57N80: Stratifications

Citation

Monti Bragadin, Giacomo. Abstract Riemannian stratifications. Pacific J. Math. 133 (1988), no. 1, 31--39. https://projecteuclid.org/euclid.pjm/1102689566


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References

  • [1] S. Alexander, Distance Geometry in Riemannian Manifolds With Boundary, Global diff. geometry andglobal analysis. Springer Lecture Notes 838 (1981).
  • [2] R. L. Bishop and R. J. Crittenden, Geometry of Manifolds, Academic Press, New York (1964).
  • [3] L. M. Blumenthal, Theory and Applications of Distance Geometry, Oxford (1953).
  • [4] W. M. Boothby, An Introduction to Differentiate Manifolds and Riemannian Geometry, Academic Press, NewYork (1975).
  • [5] H. Busemann, Metric methods in Finsler spaces and in thefoundations of geom- etry, Ann. of Math. Studies, 8, Princeton Univ. Press, Princeton (1942).
  • [6] H. Busemann, The Geometry of Geodesies, Academic Press, New York (1955).
  • [7] H. Busemann, Recent synthetic differential geometry, Erg. der Math., 54, Springer, Berlin (1970).
  • [8] A. Ferrari et G. Monti Bragadin, Sur la cohomologieentVere des prestratifications abstraites,C.R.A.S. Paris, 279 (1974), 883-886.
  • [9] J. Mather, Notes on topological stability, Mimeographed notes, Harvard (1970).
  • [10] H. Natsume, The realization of abstractstratifiedsets, Kodai Math. J., 3 (1980), 1-7.
  • [11] B. L. Reinhart, Foliated manifolds with bundle-like metrics, Ann. Math., 69 (1959), 119-131.
  • [12] M. Teufel, Abstract prestratifiedsets are (b)-regular, J. Diff. Geom., 16 (1981), 529-536.
  • [13] R. Thorn,Ensembles et morphismes stratifies,Bull. Amer. Math. Soc, 75 (1969), 240-284.
  • [14] J. C. Tougeron, daux des functions differentiates, Erg. der Math., 71 (1972), Berlin.
  • [15] A. Verona, Le thoreme de deRham pour les prestratifications abstraites, C.R.A.S. Paris, 273 (1971), 886-889.
  • [16] A. Verona, Homologicalpropertiesof abstractprestratifications,Rev. Roum.Math., XVII (1972), 1109-1121.