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SOME QUESTIONS ON PLANE CURVES

Year 2012, Volume: 5 Issue: 1, 101 - 107, 30.04.2012

E. Pascalı

Abstract


Keywords

Continuos plane curves tangency

References

  • [1] Alonso, J. and Benitez, C., Orthogonality in normed linear spaces: A survey part I, II; Extracta Mathematicae 3 n.1 (1988), 1-15 and 4 n.3 (1989), 121-131.
  • [2] Amir, D., Characterisation of inner product spaces, Birkauser, 1986.
  • [3] Blumenthal, L. M., Distance Geometry, Oxford Univ. Press, 1953.
  • [4] Buseman, H., The foundation of Minkowskian Geometry, Comm. Math. Helv. 24 (1950), 156-187.
  • [5] Ewald, G. and Le Roy M.Kelly: Tangents in real Banach Spaces, Jour. für Mathematik. 203 h. 3/4 (1960), 160-173.
  • [6] Golab, S. and Moszner, Z., Sur le contact des courbes dans les espaces m´etriques g´en´eraux, Colloquium Mathematicum X fasc.2 (1963), 305-311.
  • [7] Grochulski, J., Konik, T. and Tkacz, M., On the tangency of sets in metric spaces, Annales Polonici Mathematici, XXXVIII (1980), 121-136.
  • [8] Grochulski, J., Konik, T. and Tkacz, M., On some relations of tangency of arcs in metric spaces, Demonstratio Mathematica 11 (1978), 567-582.
  • [9] Grochulski, J., Konik, T. and Tkacz, M., On the equivalence of certain relations of tangency of arcs in metric spaces, Demonstratio Mathematica 11 (1978), 261-271.
  • [10] Pauc, C., La m´ethod metric en calcul des variations, Actualit´es Scientifiques et Industrielles, 885, Hermann & C (1941).
  • [11] Pascali, E., Derivazione e spazi metrici, Preprint Dip.di Matematica di Lecce, 3 (1995), 1-20.
  • [12] Pascali, E., Tangency and Orthogonality in Metric Spaces, Demonstratio Mathematica, vol. XXXVIII n.2 (2005), 437-449
  • [13] Konik, T., On the tangency of sets of some class in generalized metric spaces, Demonstratio Mathematica, vol.XXII 4 (1989), 1093-1107.
  • [14] Konik, T., On the tangency of sets, Demonstratio Mathematica, vol XXV 4 (1992), 737-746.
  • [15] Tricot, C., Curves and Fractal Dimension, Springer-Verlag, 1995.
  • [16] Waliszewski, W., On the tangency of sets in metric spaces, Colloquium Mathematicum, XV 1 (1966), 129-133.
  • [17] Waliszewski, W., On the tangency of sets in generalized metric spaces, Annales Polonici Mathematici vol. XXVIII (1973), 275-284.

Year 2012, Volume: 5 Issue: 1, 101 - 107, 30.04.2012

E. Pascalı

Abstract

References

  • [1] Alonso, J. and Benitez, C., Orthogonality in normed linear spaces: A survey part I, II; Extracta Mathematicae 3 n.1 (1988), 1-15 and 4 n.3 (1989), 121-131.
  • [2] Amir, D., Characterisation of inner product spaces, Birkauser, 1986.
  • [3] Blumenthal, L. M., Distance Geometry, Oxford Univ. Press, 1953.
  • [4] Buseman, H., The foundation of Minkowskian Geometry, Comm. Math. Helv. 24 (1950), 156-187.
  • [5] Ewald, G. and Le Roy M.Kelly: Tangents in real Banach Spaces, Jour. für Mathematik. 203 h. 3/4 (1960), 160-173.
  • [6] Golab, S. and Moszner, Z., Sur le contact des courbes dans les espaces m´etriques g´en´eraux, Colloquium Mathematicum X fasc.2 (1963), 305-311.
  • [7] Grochulski, J., Konik, T. and Tkacz, M., On the tangency of sets in metric spaces, Annales Polonici Mathematici, XXXVIII (1980), 121-136.
  • [8] Grochulski, J., Konik, T. and Tkacz, M., On some relations of tangency of arcs in metric spaces, Demonstratio Mathematica 11 (1978), 567-582.
  • [9] Grochulski, J., Konik, T. and Tkacz, M., On the equivalence of certain relations of tangency of arcs in metric spaces, Demonstratio Mathematica 11 (1978), 261-271.
  • [10] Pauc, C., La m´ethod metric en calcul des variations, Actualit´es Scientifiques et Industrielles, 885, Hermann & C (1941).
  • [11] Pascali, E., Derivazione e spazi metrici, Preprint Dip.di Matematica di Lecce, 3 (1995), 1-20.
  • [12] Pascali, E., Tangency and Orthogonality in Metric Spaces, Demonstratio Mathematica, vol. XXXVIII n.2 (2005), 437-449
  • [13] Konik, T., On the tangency of sets of some class in generalized metric spaces, Demonstratio Mathematica, vol.XXII 4 (1989), 1093-1107.
  • [14] Konik, T., On the tangency of sets, Demonstratio Mathematica, vol XXV 4 (1992), 737-746.
  • [15] Tricot, C., Curves and Fractal Dimension, Springer-Verlag, 1995.
  • [16] Waliszewski, W., On the tangency of sets in metric spaces, Colloquium Mathematicum, XV 1 (1966), 129-133.
  • [17] Waliszewski, W., On the tangency of sets in generalized metric spaces, Annales Polonici Mathematici vol. XXVIII (1973), 275-284.
There are 17 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

E. Pascalı This is me

Publication Date April 30, 2012
Published in Issue Year 2012 Volume: 5 Issue: 1

Cite

APA Pascalı, E. (2012). SOME QUESTIONS ON PLANE CURVES. International Electronic Journal of Geometry, 5(1), 101-107.
AMA Pascalı E. SOME QUESTIONS ON PLANE CURVES. Int. Electron. J. Geom. April 2012;5(1):101-107.
Chicago Pascalı, E. “SOME QUESTIONS ON PLANE CURVES”. International Electronic Journal of Geometry 5, no. 1 (April 2012): 101-7.
EndNote Pascalı E (April 1, 2012) SOME QUESTIONS ON PLANE CURVES. International Electronic Journal of Geometry 5 1 101–107.
IEEE E. Pascalı, “SOME QUESTIONS ON PLANE CURVES”, Int. Electron. J. Geom., vol. 5, no. 1, pp. 101–107, 2012.
ISNAD Pascalı, E. “SOME QUESTIONS ON PLANE CURVES”. International Electronic Journal of Geometry 5/1 (April 2012), 101-107.
JAMA Pascalı E. SOME QUESTIONS ON PLANE CURVES. Int. Electron. J. Geom. 2012;5:101–107.
MLA Pascalı, E. “SOME QUESTIONS ON PLANE CURVES”. International Electronic Journal of Geometry, vol. 5, no. 1, 2012, pp. 101-7.
Vancouver Pascalı E. SOME QUESTIONS ON PLANE CURVES. Int. Electron. J. Geom. 2012;5(1):101-7.