On orthogonal projections of Nöbeling spaces
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Published:2020-08-01
Issue:4
Volume:84
Page:627-658
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ISSN:1064-5632
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Container-title:Izvestiya: Mathematics
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language:
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Short-container-title:Izv. Math.
Abstract
Abstract
Suppose that
. We prove that there is a dense open subset of the Grassmann space
such that the orthogonal projection of the standard Nöbeling space
(which lies in
for sufficiently large
) to every
-dimensional plane in this subset is
-soft and possesses the strong
-universal property with respect to Polish spaces. Every such orthogonal projection is a natural counterpart of the standard Nöbeling space for the category of maps.
Funder
Ministry of Education of the Republic of Belarus
Subject
General Mathematics