Title of article
On linear continuous open surjections of the spaces CP(X)
Author/Authors
Leiderman، نويسنده , , A. and Levin، نويسنده , , Gary M. and Pestov، نويسنده , , V.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 1997
Pages
11
From page
269
To page
279
Abstract
Solving a problem by Arkhangelʹskiĭ, we construct a linear continuous open surjection L : Cp(X) → CP(Y) for compacta X and Y with 0 < dim X < dim Y < ∞. An example of nonopen linear continuous surjection of the space Cp[0, 1] onto itself is given. Related topics and results are discussed.
Keywords
Continua , Spaces of continuous functions , Pointwise topology , Dimension , Basic embeddings , Free locally convex spaces
Journal title
Topology and its Applications
Serial Year
1997
Journal title
Topology and its Applications
Record number
1579177
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