Bi-Lipschitz embeddings into low-dimensional Euclidean spaces

 Access to full text

 Full (PDF)

1. Alon N., Milman J., Embeddings of $l_{\infty }^k$ in finite dimensional Banach spaces, Israel J. Math 45 (1983), 265-280. (1983) MR0720303
2. Bourgain J., On Lipschitz embedding of finite metric spaces in Hilbert space, Israel J. Math. 52 (1985), 46-52. (1985) Zbl0657.46013MR0815600
3. Bourgain J., Figiel T., Milman V., On Hilbertian subspaces of finite metric spaces, Israel J. Math. 55 (1986), 147-152. (1986) MR0868175
4. Bourgain J., Milman V., Wolfson H., On type of metric spaces, Trans. Am. Math. Soc. 294 (1986), 295-317. (1986) Zbl0617.46024MR0819949
5. Enflo P., On a problem of Smironov, Ark. Mat. 8 (1969), 107-109. (1969) MR0415576
6. Enflo P., On the nonexistence of uniform homeomorphisms between $L_p$-spaces, Ark. Mat. vol 8 (1969), 103-105. (1969) MR0271719
7. Figiel T., Lindenstrauss J., Milman V., The dimension of almost spherical sections of convex bodies, Acta Math. 59 (1977), 53-94. (1977) Zbl0375.52002MR0445274
8. Ganea T., Comment on embedding of polyhedra in Euclidean spaces, Bull. Acad. Polon. Sci. SOr. Sci. Math. Astronom. Phys. 7 (1959), 27-32. (1959) MR0102079
9. Heiser W. J., Multidimensional scaling with least absolute residuals, in: Classification and related methods of data analysis, H. H. Bock ed., North Holland (1988), 455-472. (1988) 
10. Johnson W., Lindenstrauss J., Extensions of Lipschitz maps into a Hilbert space, Contemp. Math. 26 (1984), 189-206. (1984) MR0737400
11. Johnson W. B., Lindenstrauss J., Schechtman G., On Lipschitz embedding of finite metric spaces in low dimensional normed spaces, in: Geometrical aspects of functional analysis, (J. Lindenstrauss, V. D. Milman eds.), LNM 1267, Springer-Verlag 1987. (1987) Zbl0631.46016MR0907694
12. Kruskal J. B., Multidimensional scaling by optimizing goodness-of-fit to a nonmetric hypothesis, Psychometrika 29 (1964), 1-27. (1964) Zbl0123.36803MR0169712
13. Mathar R., The best Euclidian fit to a given distance matrix in prescribed dimension, Lin. Alg. Appl. 6T (1985), 1-6. (1985) MR0787361
14. Matoušek J., Lipschitz distance of metric spaces, CSc. degree thesis (in Czech), Charles University 1989. (1989) 
15. Mardešić S., Segal J., A note on polyhedra embeddable in the plane, Michig. Math. J. 33 (1966), 633-638. (1966) MR0199848
16. Mardešić S., Segal J., e-mappxngs and generalized manifolds, Michig. Math. J. 14 (1967), 171-182. (1967) MR0211407
17. Milman V. D., Schechtman G., Asymptotic theory of finite dimensional normed spaces, LNM 1200, Springer-Verlag 1986. (1986) Zbl0606.46013MR0856576
18. Schoenberg I. J., Metric spaces and positive definite functions, Trans. Amer. Math. Soc. 44 (1938), 522-536. (1938) Zbl0019.41502MR1501980
19. Wells J. H., Williams L. R., Embeddings and extensions in analysis, Springer-Verlag 1975. (1975) Zbl0324.46034MR0461107