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BERLANGA, RICARDO. A TOPOLOGISED MEASURE HOMOLOGY. Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 359-369. doi: 10.1017/S0017089508004266
@article{10_1017_S0017089508004266,
author = {BERLANGA, RICARDO},
title = {A {TOPOLOGISED} {MEASURE} {HOMOLOGY}},
journal = {Glasgow mathematical journal},
pages = {359--369},
year = {2008},
volume = {50},
number = {3},
doi = {10.1017/S0017089508004266},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004266/}
}
[1] 1.Benedetti, R. and Petronio, C., Lectures on hyperbolic geometry, Universitext (Springer-Verlag, Berlin, 1992). Google Scholar | DOI
[2] 2.Biss, D. K., The topological fundamental group and generalized covering spaces, Topol. Appl. 3 (124) (2002), 355–371. Google Scholar | DOI
[3] 3.Dugundji, J., Topology (Allyn and Bacon, Inc., Boston, 1970). Google Scholar
[4] 4.Dugundji, J., A topologized fundamental group, Proc. Nat. Acad. Sci. U.S.A. 2 (36) (1950), 141–143. Google Scholar | DOI
[5] 5.Fabel, P., The topological hawaiian earring group does not embed in the inverse limit of free groups, Algebr. Geom. Topol. 5 (2005), 1585–1587. Google Scholar | DOI
[6] 6.Fabel, P., The fundamental group of the harmonic archipelago, arXiv:math/0501426v1. Google Scholar
[7] 7.Fabel, P., Topological fundamental groups can distinguish spaces with isomorphic homotopy groups, Topol. Proc. 1 (30) (2006), 187–195. Google Scholar
[8] 8.Fabel, P., Metric spaces with discrete topological fundamental group, Topol. Appl. 154 (2007), 635–638. Google Scholar | DOI
[9] 9.Fathi, A., Structure of the group of homeomorphisms preserving a good measure, Ann. Sci. École Norm. Sup. 13 (4) (1980), 45–93. Google Scholar | DOI
[10] 10.Gromov, M., Volume and bounded cohomology, Pub. Math. IHES 56 (1982), 5–99. Google Scholar
[11] 11.Hansen, S. K., Measure homology, Math. Scand. 83 (1998), 205–219. Google Scholar | DOI
[12] 12.Hilton, P. J. and Stammbach, U., A course in homological algebra, Grad. Texts in Math. (Springer-Verlag, Berlin, 1971). Google Scholar | DOI
[13] 13.Kuessner, T., Efficient fundamental cycles of cusped hyperbolic manifolds, Pacific J. Math. 2 (211) (2003), 283–313. Google Scholar | DOI
[14] 14.Löh, C., Measure homology and singular homology are isometrically isomorphic, Math. Z. 1 (253) (2006), 197–218. Google Scholar | DOI
[15] 15.Milnor, J., On spaces having the homotopy type of a CW-complex, Trans. Amer. Math. Soc. 90 (1959), 272–280. Google Scholar
[16] 16.Munkholm, H. J., Simplices of maximal volume in hyperbolic space, Gromov's norm, and Gromov's proof of Mostow's rigidity theorem (following Thurston), in: Topology symposium, Siegen 1979 (Proc. Sympos., Univ. Siegen, Siegen, 1979), Lect. Notes in Math. (Springer-Verlag, Berlin, 1980). Google Scholar | DOI
[17] 17.Ratcliffe, J. G., Foundations of hyperbolic manifolds, Grad. Texts in Math. (Springer-Verlag, Berlin, 1994). Google Scholar | DOI
[18] 18.Royden, H. L., Real analysis, 2nd ed. (The Macmillan Company, London, 1968). Google Scholar
[19] 19.Rudin, W., Functional analysis (McGraw-Hill, New York, 1973). Google Scholar
[20] 20.Rudin, W., Real and complex analysis, 2nd ed. (McGraw-Hill, New York, 1974). Google Scholar
[21] 21.Soma, T., Degree-one maps between hyperbolic 3-manifolds with the same volume limit, Trans. Amer. Math. Soc. 7 (353) (2001), 2753–2772. Google Scholar | DOI
[22] 22.Spanier, E. H., Algebraic topology (McGraw-Hill, New York, 1966). Google Scholar
[23] 23.Thurston, W. P., The geometry and topology of three-manifolds, circulated lecture notes, Princeton University 1979, now also electronically available at http://www.msri.org/publications/books/gt3m/ Google Scholar
[24] 24.Willard, S., General topology (Addison-Wesley Publishing Company, Reading, MA, 1970). Google Scholar
[25] 25.Whitehead, G. W., Elements of homotopy theory, Grad. Texts in Math. (Springer-Verlag, Berlin, 1978). Google Scholar
[26] 26.Whitehead, J. H. C., Combinatorial homotopy I. Bull. Amer. Math. Soc. 55 (1949), 213–245. Google Scholar | DOI
[27] 27.Zastrow, A., On the (non)-coincidence of Milnor–Thurston homology theory with singular homology theory, Pacific J. Math. 2 (186) (1998), 369–396. Google Scholar | DOI
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