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UBA - CienciaS Foro de Alumnos 2013-10-03T09:25:58-03:00 http://www.ubacs.com.ar/ubacs/feed.php?f=175&t=2694 2013-10-03T09:25:58-03:00 2013-10-03T09:25:58-03:00 http://www.ubacs.com.ar/ubacs/viewtopic.php?t=2694&p=15993#p15993 <![CDATA[Re: Primer parcial - 18/05/2012]]> Estadísticas: Publicado por Kevin2501 — 03 Oct 2013, 09:25

]]> 2013-10-03T02:27:51-03:00 2013-10-03T02:27:51-03:00 http://www.ubacs.com.ar/ubacs/viewtopic.php?t=2694&p=15992#p15992 <![CDATA[Re: Primer parcial - 18/05/2012]]> 5)


Alguna pista para el 1?

Estadísticas: Publicado por Mr. Z — 03 Oct 2013, 02:27

]]> 2012-05-19T13:00:57-03:00 2012-05-19T13:00:57-03:00 http://www.ubacs.com.ar/ubacs/viewtopic.php?t=2694&p=14613#p14613 <![CDATA[Re: Primer parcial - 18/05/2012]]>

2)


3)

Estadísticas: Publicado por elnieto — 19 May 2012, 13:00

]]> 2012-05-19T12:40:22-03:00 2012-05-19T12:40:22-03:00 http://www.ubacs.com.ar/ubacs/viewtopic.php?t=2694&p=14612#p14612 <![CDATA[Primer parcial - 18/05/2012]]>
Ejercicio 1. Sea decimos que es lineal a trozos si para todo existe tal que y son funciones lineales.
Hallar el cardinal del conjunto : es lineal a trozos

Ejercicio 2. Sea definida por



Se define como

i) Probar que es una métrica en
ii) Hallar las suceciones convergentes para esta métrica. Decidir si es completo.
iii) Si consideramos en la métrica máx ¿Vale que y son topológicamente equivalentes?

Ejercicio 3. Sea un espacio métrico y sea denso. Supongamos que dada existe tal que para todo

Probar que

Ejercicio 4. Consideremos el espacio métrico es acotada con la distancia sup
Sea existe tal que para todo y consideramos el conjunto

Probar que:

Ejercicio 5. Sea un espacio métrico compacto y consideremos el espacio de las funciones continuas de en con la métrica sup
Sean una sucesión de funciones y .

Probar que son equivalentes:
i) converge a en .
ii) Para toda sucesión que converge a vale que la sucesión converge a .

Estadísticas: Publicado por elnieto — 19 May 2012, 12:40

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