Pták Homomorphism Theorem Revisited

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• 作者：Ferrer ; J. R. ; Pellicer ; M. Ló ; pez ; Ruiz ; L. M. S&aacute ; nchez
• 关键词：homomorphism theorem ; B ; complete space
• 刊名：Czechoslovak Mathematical Journal
• 出版年：2000
• 出版时间：2000
• 年：2000
• 卷：50
• 期：2
• 页码：341-346
• 全文大小：304 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Analysis
  Convex and Discrete Geometry
  Ordinary Differential Equations
  Mathematical Modeling and IndustrialMathematics
  
• 出版者：Springer Netherlands
• ISSN：1572-9141

文摘

Rodrigues' extension (1989) of the classical Pták's homomoiphism theorem to a non-necessarily locally convex setting stated that a nearly semi-open mapping between a semi-B-complete space and an arbitrary topoiogical vector space is semi-open. In this paper we study this extension and, as a consequence of the results obtained, provide an improvement of Pták's homomorphism theorem.