Have a personal or library account? Click to login
On expansive homeomorphism of uniform spaces Cover
By: Ali Barzanouni and  Ekta Shah  
Open Access
|Dec 2021

References

  1. [1] M. Achigar, A. Artigue, I. Monteverde. Expansive homeomorphisms on non–Hausdorff spaces, Top. & its Appl., Vol. 207 (2016), 109–122.
  2. [2] A. Barzanouni, Finite expansive homeomorphisms, Top. & its Appl., Vol. 253 (2019), 95–112.
  3. [3] A. Barzanouni, M. S. Divandar, E. Shah, On Properties of Expansive Group Actions, to appear in Acta Mathematica Vietnamica.
  4. [4] R. Bowen, Entropy–expansive maps, Trans. of the AMS, Vol. 164 (1972), 323–331.
  5. [5] B. F. Bryant, D. B. Coleman, Some expansive homeomorphisms of the reals, Am. Math. Mon., Vol. 73 (1966) 370–373.
  6. [6] P. Das, T. Das, Various types of shadowing and specification on uniform spaces, J. Dyn. Control Syst., Vol. 24 (2018), No. 2, 253–267.
  7. [7] T. Das, K. Lee, D. Richeson, J. Wiseman. Spectral decomposition for topologically Anosov homeomorphisms on noncompact and nonmetrizable spaces, Top. & its Appl., Vol. 160(2013), 149–158.
  8. [8] K. Hiraide, Expansive homeomorphisms of compact surfaces are pseudo-Anosov, Osaka J. Math., 27 (1990), no. 1, 117–162.
  9. [9] H. Kato, The nonexistence of expansive homeomorphisms of Peano continua in the plane, Top. & its Appl., Vol. 34 (1990), no. 2, 161–165.
  10. [10] H. Kato, Continuum–wise expansive homeomorphisms, Canad. J. Math., Vol. 45 (1993), 576–598.
  11. [11] J. L. Kelley, General Topology, D. Van Nostrand Company, Inc., Toronto, New York, London, 1955.
  12. [12] M. Kouno, On expansive homeomorphisms on manifolds, J. Math. Soc. Japan, Vol. 33 (1981), No. 3, 533–538.
  13. [13] R. Mañé, Expansive homeomorphisms and topological dimension, Trans. Amer. Math. Soc., Vol. 252 (1979), 313–319.
  14. [14] W. L. Reddy, Point–wise expansion homeomorphisms, J. Lond. Math. Soc., Vol. 2 (1970), 232–236.
  15. [15] D. Richeson, J. Wiseman, Positively expansive dynamical systems, Top. & its Appl., Vol. 154 (2007), 604–613.
  16. [16] S. Schwartzman, On Transformation Groups, Dissertation, Yale University, 1952.
  17. [17] E. Shah, Positively expansive maps on G−spaces, J. Indian Math. Soc., Vol. 72 (2005), 91–97.
  18. [18] W.R. Utz, Unstable homeomorphisms, Proc. Amer. Math. Soc., Vol. 1 (1950), 769–774.
  19. [19] A. Weil, Sur les espaces à structure uniforme et sur la topolgie gènèrale, Hermann, Paris, 1938.
Language: English
Page range: 292 - 304
Published on: Dec 30, 2021
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2021 Ali Barzanouni, Ekta Shah, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.