## General topology in Banach spaces |

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### Contents

Isotropic Mappings and Automatic Continuity of Polynomial | 1 |

Banach Spaces without KadecKlee Property | 15 |

Cantor Sets in the Dual of a Separable Banach Space Applications | 35 |

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6 other sections not shown

### Common terms and phrases

1-Plichko abelian group algebra Asplund space Baire class Banach spaces containing Borel Cantor set closed subset compact Hausdorff space compact spaces complemented completely regular completely regular space contains an isomorphic continuous mapping Corollary countable defined definition denote disjoint dual space dual unit ball element equimeasurable equivalent norm example extreme points filter fragmented function space GODEFROY Hausdorff space hence homeomorphic implies isometric isomorphic isomorphic copy K-analytic Lemma Lipschitz locally convex space locally finite mapping F metric space normed space open set open subset ordinal paracompact Plichko polynomial operator projectively meager proof of Theorem Proposition prove renormings result RN compact satisfies semicontinuous separable Banach space separable dual separately continuous function separates the points sequential closures Studia Math Suppose Sz(X topological space total subspace uncountable uniformly convex unit ball Valdivia compact vector weak topology weakly compact Z-set