Abstract
In this paper, we mainly prove that everyn-dimensional Lip microbundle over a locally finite simplicial complex is micro-identical to a Lip-S n (R n)-bundle, and any two such are micro-identical, isomorphicS n (R n)-bundles.
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References
Hirsch, M. W. and Mazur, M., Smoothings and Piecewise-Linear Manidfolds, (mimeographed), Cambridge University, 1964.
Kuiper, N. H. and Lashof, R. K.,Microbundles and bundles, I. Elementary theory, Invent. Math.,1(1966), 1–17.
Holm, P.,The microbundle representation theorem, Acta Math.,177(1967), 191–213.
Engelking, R., General topology, Warszawa, 1977.
Luukkainen, J.,Extension of spaces, maps, and metrics in Lipschitz topology, Ann. Acad. Sci. Fenn. Ser. A I Math.,17(1978), 5–62.
Luukkainen, J. and Väisälä, J.,Elements of Lipschitz topology, Ann. Acad. Sci. Fenn. Ser. AI Math.,3(1977), 85–122.
Luukkainen, J.,Respectful deformation of Bi-Lipschitz and quasisymmetric embeddings, Ann. Acad. Sci. Fenn. Ser. A I Math.,13(1968), 137–177.
Väisälä, J.,An axiomatic approach to the theory of manifolds, Rev. Roum. Math Pures et Appl., Tome XXIV,3(1979), 489–503.
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Project supported by the National Natural Science Foundation of China.
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Guo, J. Lip microbundles. Acta Mathematica Sinica 11, 337–350 (1995). https://doi.org/10.1007/BF02248744
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DOI: https://doi.org/10.1007/BF02248744