| o9dykainyu | Datum: Subota, 18-Jan-2014, 11:27 PM | Poruka # 1 |
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| Complete metric space
Inside a space in the discrete metric, a common Cauchy sequences are the which <a href=http://fenntaler.nl/cd/aj.html>http://fenntaler.nl/cd/aj.html</a> are constant from one thing on. Hence any discrete metric space is done.
The rational numbers Q are certainly not complete. <a href=http://fotovakprint.nl/images/soccer.html>http://fotovakprint.nl/images/soccer.html</a> For example, the map
can be described as homeomorphism amongst the complete metric space R as well as incomplete space which is unit circle within the Euclidean plane together with the point (0,1) deleted. These space isn't complete because the nonCauchy sequence corresponding to t=n as n runs because of the positive integers is mapped to some nonconvergent Cauchy sequence for the circle.
You can easily define a topological <a href=http://fenntaler.nl/cd/agu.html>アグ オーストラリア</a> space to get metrically topologically complete if homeomorphic into a complete metric space. A topological condition for the property owner the space be metrizable also as an absolute G, which can be, a G in each topological space that could be embedded.
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