@article{520625df8e7c432284d69097d050df04,
title = "On linear continuous open surjections of the spaces Cp(X)",
abstract = "Solving a problem by Arkhangel'skiǐ, 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 = "Basic embeddings, Continua, Dimension, Free locally convex spaces, Pointwise topology, Spaces of continuous functions",
author = "A. Leiderman and M. Levin and V. Pestov",
note = "Funding Information: * Corresponding author. Tel.: 972-7-6461618; fax: 972-7-6472910; Research supported by the Israel Ministry of Absorption. {\textquoteright} E-mail:
[email protected]. {\textquoteright} E-mail:
[email protected]. Research partially supported by the New Zealand Ministry of Research, Science and Technology through the project “Dynamics in Function Spaces” of the International Science Linkages Fund.",
year = "1997",
month = jan,
day = "1",
doi = "10.1016/s0166-8641(97)00034-5",
language = "English",
volume = "81",
pages = "269--279",
journal = "Topology and its Applications",
issn = "0016-660X",
publisher = "Elsevier B.V.",
number = "3",
}