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Triangulation of subanalytic sets and proper light subanalytic maps

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References

  1. De Rham, G.: Variétiés differentiables, formes, courants, formes harmoniques. Act. Sci. et Ind. vol. 1222. Paris: Hermann 1955

    Google Scholar 

  2. Dold, A.: Lectures on algebraic topology. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  3. Federer, H.: Geometric measure theory. Berlin-Heidelberg-New York: Springer 1969

    Google Scholar 

  4. Grauert, L.: On Levi's problem and the embedding of real analytic manifolds. Ann. of Math.,68, 460–472 (1968)

    Google Scholar 

  5. Giesecke, B.: Simplicialzerlegung abzählbarer analytischer Räume. Math. Z.,83, 177–213 (1964)

    Google Scholar 

  6. Hardt, R.: Stratification of real analytic mappings and images. Inventiones math.28, 193–208 (1975)

    Google Scholar 

  7. Hardt, R.: Topological properties of subanalytic sets. Trans. Amer. Math. Soc.211, 57–70 (1975)

    Google Scholar 

  8. Hironaka, H.: Subanalytic sets. Number theory, algebraic geometry, and commutative algebra in honor of Y. Akizuki. pp. 453–493. Tokyo: Kinokuniya Publications 1973

    Google Scholar 

  9. Hironaka, H.: Triangulations of algebraic sets. Proceedings of Symposia in Pure Math. Amer. Math. Soc.29, 165–185 (1975)

    Google Scholar 

  10. Lojasiewicz, S.: Triangulation of semi-analytic sets. Annali Sc. Norm. Sup. Pisa, s. 318, 449–474 (1964)

    Google Scholar 

  11. Lojasiewicz, S.: Ensembles semianalytiques. Cours Faculté des Sciences d'Orsay. I.H.E.S. Buressur-Yvette, 1965

  12. Scharlemann, M. G., Siebenmann, L. C.: The hauptvermutung for smooth singular homeomorphisms, Manifolds: Tokyo 1973. Proceedings of the International Conference on Manifolds and Related Topics in Topology. Tokyo: International Scholarly Book Service

    Google Scholar 

  13. Sullivan, D.: Combinatorial invariants of analytic spaces. Proceedings of Liverpool singularities-symposium I. pp. 165–168. Berlin-Heidelberg-New York: Springer 1971

    Google Scholar 

  14. Gabriélov, A. M.: Projections of semi-analytic sets. Funktsional'nyi analiz i ego prilozheniya. vol. 2, no. 4, 18–30 (1968) [Functional analysis and its applications, vol. 2, no. 4, 282–291 (1968)]

    Google Scholar 

  15. Gabriélov, A. M.: Thesis, Moscow State University 1973

  16. Johnson, F. E. A.: Triangulation of stratified sets and other questions in geometric topology. Thesis, University of Liverpool 1972

  17. Hendricks, E.: Triangulation of stratified sets. Thesis, M.I.T. 1973

  18. Ullman, W.: Triangulability of abstract prestratified sets and the stratification of the orbit space of a G-manifold. Thesis, Universität Bonn. Mathematisches Institut 1973

  19. Rourke, C. P., Sanderson, B. J.: Introduction to piecewise-linear topology. Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

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Research partially supported by National Science Foundation grant MPS 71-03036 A06

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Hardt, R.M. Triangulation of subanalytic sets and proper light subanalytic maps. Invent Math 38, 207–217 (1976). https://doi.org/10.1007/BF01403128

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  • DOI: https://doi.org/10.1007/BF01403128

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