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Chapter5CountabilityandSeparationAxioms5.1FirstandSecondCountableTopol Chapter5CountabilityandSeparationAxioms5.1FirstandSecondCountableTopol

Chapter5CountabilityandSeparationAxioms5.1FirstandSecondCountableTopol - PDF document

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Uploaded On 2016-09-28

Chapter5CountabilityandSeparationAxioms5.1FirstandSecondCountableTopol - PPT Presentation

nn2NgisacountablelocalbasisatxHenceXJdisa rstcountablespaceSowesaythateverymetricspaceXdisa rstcountablespaceiiLetXNandJfXf1gf12gf12nggthenobviouslyXJisa rstcou ID: 470891

n):n2Ngisacountablelocalbasisatx.Hence(X Jd)isa rstcountablespace.So wesaythateverymetricspace(X;d)isa rstcountablespace.(ii)LetX=NandJ=f;X;f1g;f1;2g;:::;f1;2;:::;ng;:::;gthenobviously(X;J)isa rstcou

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