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Quiz de Topología

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Quiz de Topología

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Afirmaciones sobre topología

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Peru

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Quiz de Topología
 

Quiz de TopologíaOnline version

Afirmaciones sobre topología

by Matias Fernando RODRIGUEZ BECERRA
1

Dos conjuntos abiertos deben ser disjuntos entre sí.

2

Si f es continua, entonces su imagen f(X) es continua.

3

Un compacto en un espacio topológico es aquel para el que toda cubierta abierta tiene una subcubierta finita.

4

Un subconjunto A de X tiene la topología inducida si se consideran los abiertos de X que están dentro de A.

5

Todo espacio topológico es un espacio métrico.

6

La frontera de cualquier conjunto en un espacio topológico siempre es vacía.

7

El interior de un conjunto siempre es un conjunto abierto.

8

Una topología en X es una colección de subconjuntos de X que contiene X y el conjunto vacío y es cerrada bajo uniones arbitrarias e intersecciones finitas.

9

Cada conjunto en X es a la vez abierto y cerrado en toda topología.

10

Dos espacios son homeomorfos si existe una biyección continua con inversa continua entre ellos.

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