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Abstract:

A lion and a man move continuously in a space X. The aim of the lion is to capture his prey while the man wants to escape forever. Which of them has a strategy? This question has been studied for different metric domains. In this article we consider the case of general topological spaces. © 2018, Springer-Verlag GmbH Germany, part of Springer Nature.

Registro:

Documento: Artículo
Título:Lion and man in non-metric spaces
Autor:Barmak, J.A.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
Instituto de Investigaciones Matemáticas Luis A. Santaló (IMAS), CONICET-Universidad de Buenos Aires, Buenos Aires, Argentina
Palabras clave:Axiom of choice; Continuous pursuit-evasion; Lion and man problem; Non-metric spaces
Año:2018
Volumen:290
Número:3-4
Página de inicio:1165
Página de fin:1172
DOI: http://dx.doi.org/10.1007/s00209-018-2057-6
Título revista:Mathematische Zeitschrift
Título revista abreviado:Math. Z.
ISSN:00255874
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00255874_v290_n3-4_p1165_Barmak

Referencias:

  • Alexandroff, P.S., Diskrete räume (1937) MathematiceskiiSbornik (N.S.), 2, pp. 501-518
  • Alexander, S., Bishop, R.L., Ghrist, R., Pursuit and evasion in non-convex domains of arbitrary dimension (2006) Proceedings of Robotics: Science and Systems, , Philadelphia
  • Barmak, J.A., Minimal Finite Models (2011) Algebraic Topology of Finite Topological Spaces and Applications, pp. 37-47. , Springer Berlin Heidelberg, Berlin, Heidelberg
  • Bollobás, B., Leader, I., Walters, M., Lion and man—can both win? (2012) Israel J. Math., 189, pp. 267-286
  • Bramson, M., Burdzy, K., Kendall, W., Shy couplings, CAT(0) spaces, and the lion and man (2013) Ann. Probab., 41, pp. 744-784
  • Bramson, M., Burdzy, K., Kendall, W., Rubber bands, pursuit games and shy couplings (2014) Proc. Lond. Math. Soc., 109, pp. 121-160
  • Croft, H.T., Lion and man: a postscript (1964) J. Lond. Math. Soc., 39, pp. 385-390
  • Littlewood, J.E., (1953) A Mathematician’s Miscellany, p. vii+136. , Methuen and Co., Ltd, London
  • McCord, M.C., Singular homology groups and homotopy groups of finite topological spaces (1966) Duke Math. J., 33, pp. 465-474
  • Munkres, J.R., (2000) Topology, , 2, Prentice Hall, Englewood Cliffs
  • Sgall, J., A solution of David Gales lion and man problem (2001) Theor. Comput. Sci., 259, pp. 663-670
  • Stong, R.E., Finite topological spaces (1966) Trans. Am. Math. Soc., 123, pp. 325-340

Citas:

---------- APA ----------
(2018) . Lion and man in non-metric spaces. Mathematische Zeitschrift, 290(3-4), 1165-1172.
http://dx.doi.org/10.1007/s00209-018-2057-6
---------- CHICAGO ----------
Barmak, J.A. "Lion and man in non-metric spaces" . Mathematische Zeitschrift 290, no. 3-4 (2018) : 1165-1172.
http://dx.doi.org/10.1007/s00209-018-2057-6
---------- MLA ----------
Barmak, J.A. "Lion and man in non-metric spaces" . Mathematische Zeitschrift, vol. 290, no. 3-4, 2018, pp. 1165-1172.
http://dx.doi.org/10.1007/s00209-018-2057-6
---------- VANCOUVER ----------
Barmak, J.A. Lion and man in non-metric spaces. Math. Z. 2018;290(3-4):1165-1172.
http://dx.doi.org/10.1007/s00209-018-2057-6