- -

Geometrical properties of the space of idempotent probability measures

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Geometrical properties of the space of idempotent probability measures

Mostrar el registro completo del ítem

Kholturayev, K. (2021). Geometrical properties of the space of idempotent probability measures. Applied General Topology. 22(2):399-415. https://doi.org/10.4995/agt.2021.15101

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/173924

Ficheros en el ítem

Thumbnail
Nombre: Kholturayev - ...
Tamaño: 250.1Kb
Formato: PDF
Descripción: Versión editorial
Abrir/Preview

Metadatos del ítem

Título: Geometrical properties of the space of idempotent probability measures
Autor: Kholturayev, Kholsaid
Fecha difusión:
Resumen:
[EN] Although traditional and idempotent mathematics are "parallel'', by an application of the category theory we show that objects obtained the similar rules over traditional and idempotent mathematics must not be ...[+]
Palabras clave: Category , Functor , Compact Hausdorff space , Idempotent measure
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2021.15101
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2021.15101
Tipo: Artículo

References

G. Choquet, Theory of capacities, Ann. Inst. Fourier 5 (1955), 131-295. https://doi.org/10.5802/aif.53

V. V. Fedorchuk, Fully closed mappings and their applications, Fundam. Prikl.Mat. 9, no. 4 (2003), 105-235. [J .Math. Sci. (New York) 136:5, 4201-4292 (2006)].

V. V. Fedorchuk, On Katetov's theorem on the cube, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1989, no. 4, 93-96. [+]
G. Choquet, Theory of capacities, Ann. Inst. Fourier 5 (1955), 131-295. https://doi.org/10.5802/aif.53

V. V. Fedorchuk, Fully closed mappings and their applications, Fundam. Prikl.Mat. 9, no. 4 (2003), 105-235. [J .Math. Sci. (New York) 136:5, 4201-4292 (2006)].

V. V. Fedorchuk, On Katetov's theorem on the cube, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1989, no. 4, 93-96.

V. V. Fedorchuk and V. V. Filippov, General Topology. Basic Constructions (in Russian). - Moscow. Fizmatlit. - 2006.

R. Garner, Topological functors as total categories, Theory Appl. Categ. 29, no. 15 (2014), 406-422.

J. Gunawardena, Idempotency, Publ. of the Newton Institute, 11 (1998), Cambridge University Press, Cambridge, (Online publication date: May 2010)

E. Hopf, The partial differential equation equation ut + uux = µuxx, Comm. Pure Appl. Math. 3 (1950), 201-230. https://doi.org/10.1002/cpa.3160030302

A. Ya. Ishmetov, On functor of idempotent probability measures with compact support, Uzbek. Mat. Zh. 2010, no. 1 (2010), 72-80.

M. Katetov, Complete normality of Cartesian products. Fund. Math. 35 (1948), 271-274. https://doi.org/10.4064/fm-35-1-271-274

V. N. Kolokoltsov, Idempotent structures in optimization, J. Math. Sci. (New York) 104, no. 1 (2001), 847-880. https://doi.org/10.1023/A:1009514904187

V. N. Kolokoltsov and V. P. Maslov, Idempotent analysis as a tool of control theory and optimal synthesis. 1, Funct. Anal. Appl. 23, no. 1 (1989), 111. https://doi.org/10.1007/BF01078568

V. N. Kolokoltsov and V. P. Maslov, Idempotent analysis as a tool of control theory and optimal synthesis. 2, Funct. Anal. Appl. 23, no. 4 (1989), 300-307. https://doi.org/10.1007/BF01078944

G. L. Litvinov and V. P. Maslov, Idempotent Mathematics and Mathematical Physics, Contemporary Mathematics 377 (2005), 370 pp. https://doi.org/10.1090/conm/377

G. L. Litvinov, V. P. Maslov and S. N. Sergeev (eds), Idempotent and tropical mathematics and problems of mathematical physics, 1 (2007), Moscow, 104 pp.

E. V. Shchepin, Functors and uncountable powers of compacta, Uspekhi Mat. Nauk 36, no. 3 (1981), 3-62. https://doi.org/10.1070/RM1981v036n03ABEH004247

A. A. Zaitov and A. Ya. Ishmetov, Homotopy properties of the space If (X) of idempotent probability measures, Math. Notes 106, no. 3-4 (2019), 562-571. https://doi.org/10.1134/S0001434619090244

A. A. Zaitov, Geometrical and topological properties of a subspace Pf (X) of probability measures (Russian), Russ Math. 63, no. 10 (2019), 24-32. https://doi.org/10.3103/S1066369X19100049

A. A. Zaitov, On a metric on the space of idempotent probability measures, Applied General Topology 21, no. 1 (2020), 35-51. https://doi.org/10.4995/agt.2020.11865

A. A. Zaitov and A. Ya. Ishmetov, On monad generating by the functor Iβ (Russian), Vestnik of National University of Uzbekistan 2 (2013), 61-64.

A. A. Zaitov and Kh. F. Kholturaev, On interrelation of the functors P of probability measures and I of idempotent probability measures (Russian), Uzbek Mathematical Journal 4 (2014), 36-45.

M. M. Zarichnyi, Spaces and maps of idempotent measures, Izv. Math. 74, no. 3 (2010), 481-499. https://doi.org/10.1070/IM2010v074n03ABEH002495

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem