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* localmente metrizable.
* locally metrizable.
Last Update: 2016-03-03
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=== metrizabilidad ===* metrizable.
=== metrizability ===* metrizable.
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como consecuencia, no es metrizable.
as a consequence, it is not metrizable.
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the weak topology is always metrizable.
the weak topology is always metrizable.
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un espacio es metrizable si es homeomorfo a un espacio métrico.
a space is metrizable if it is homeomorphic to a metric space.
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así, cada espacio topológico completamente metrizable es un espacio de baire.
thus every completely metrizable topological space is a baire space.
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un espacio localmente es metrizable si cada punto tiene un vecindad metrizable.
a space is locally metrizable if every point has a metrizable neighbourhood.
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un espacio se llama polaco si es metrizable con una métrica separable y completa.
a space is called polish if it is metrizable with a separable and complete metric.
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un espacio polaco es un espacio topológico segundo contable que es metrizable con una métrica completa.
a polish space is a second countable topological space that is metrizable with a complete metric.
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luego esta topología es metrizable, corresponde (para un homeomorfismo dado) a la métrica usual en este intervalo.
thus the topology is metrizable, corresponding (for a given homeomorphism) to the ordinary metric on this interval.
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when the manifold is not compact, the strong topology captures the behavior of functions "at infinity", and is not metrizable.
when the manifold is not compact, the strong topology captures the behavior of functions "at infinity" and is not metrizable.
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estas condiciones son equivalentes para espacios metrizables, pero ninguna implica la otra sobre la clase de todos los espacios topológicos.
these conditions are equivalent for metrizable spaces, but neither one implies the other in the class of all topological spaces.
Last Update: 2016-03-03
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