Pacific Journal of Mathematics

How to recognize homeomorphisms and isometries.

Carlos R. Borges

Article information

Source
Pacific J. Math. Volume 37, Number 3 (1971), 625-633.

Dates
First available in Project Euclid: 13 December 2004

Permanent link to this document
http://projecteuclid.org/euclid.pjm/1102970464

Zentralblatt MATH identifier
0219.54028

Zentralblatt MATH identifier
0201.55401

Mathematical Reviews number (MathSciNet)
MR0305328

Subjects
Primary: 54C05: Continuous maps

Citation

Borges, Carlos R. How to recognize homeomorphisms and isometries. Pacific Journal of Mathematics 37 (1971), no. 3, 625--633. http://projecteuclid.org/euclid.pjm/1102970464.


Export citation

References

  • [1] R. Arens and J. Dugundji, Topologiesfor function spaces. Pacific J. Math., 1 (1951), 53-1.
  • [2] T. Brown and W. Comfort, New method for expansionand contraction mapsin uniformspaces, Proc. Amer. Math. Soc, 11 (1960), 483-486.
  • [3] J. Dugundji, Topology, Allyn and Bacon, Boston 1966.
  • [4] A. Edrei, On iteration of mappings of a metric space onto itself J. London Math. Soc, 26(1951), 96-103.
  • [5] A. Edrei, On mappings which do not increase small distances, Proc. London Math. Soc, 2(1952), 272-278.
  • [6] H. Freudenthal and W. Hurewicz, Dehnungen, Verkurzungen, Isometrien, Fund. Math., 26(1936), 120-122.
  • [7] J. L. Kelley, General Topology, Van Nostrand, 1955.
  • [8] M. M. Marjanovic, On topological isometrics, Indag. Math. 31 (1960), 184-189.
  • [9] A. D. Wallace, The structure of topologicalsemigroups, Bull. Amer. Math. Soc, 61 (1955), 95-112.
  • [10] A. D. Wallace, The gebietstreue in semigroups, Indag. Math., 18(1956), 271-274.
  • [11] A. D. Wallace,Inverses in Euclidean mobs, Math. J. Okayama, Univ., 3(1953), 1-3.
  • [12] G. T. Whyburn, AnalyticTopology, Amer. Math. Soc. Colloq. Publications, Vol. 28.