manuscripta mathematica

, Volume 3, Issue 1, pp 1–5 | Cite as

On the connectedness of isomorphism classes

  • Robert A. McGuigan


This paper is concerned with some topological properties of a notion of distance between normed linear spaces which is due to Banach and Mazur [1], We are interested in a pseudometric space associated naturally with this notion of distance, and our main result is that this pseudometric space is always pathwise connected.


Number Theory Linear Space Algebraic Geometry Topological Group Topological Property 
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    GURARII, V.I.: Spaces of Universal Disposition, Isotropic Spaces, and the Mazur Problem on Rotations of Banach Spaces, Siberian Math. Journal 7, 799–807 (1966).Google Scholar
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    MCGUIGAN, R.A.: Near Isometry of Banach Spaces and the Banach-Mazur Distance, Ph.D. thesis, Univ. of Maryland, 1968.Google Scholar
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Copyright information

© Springer-Verlag 1970

Authors and Affiliations

  • Robert A. McGuigan
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of MassachusettsAmherst

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