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
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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
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Palabras clave: | Axiom of choice; Continuous pursuit-evasion; Lion and man problem; Non-metric spaces |
Año: | 2018
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Volumen: | 290
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Número: | 3-4
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Página de inicio: | 1165
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Página de fin: | 1172
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DOI: |
http://dx.doi.org/10.1007/s00209-018-2057-6 |
Título revista: | Mathematische Zeitschrift
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Título revista abreviado: | Math. Z.
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ISSN: | 00255874
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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