On orthogonal projections of Nöbeling spaces

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...

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Veröffentlicht in:	Izvestiya. Mathematics 2020-08, Vol.84 (4), p.627-658
1. Verfasser:	Ageev, S. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Dranishnikov and Chigogidze resolutions filtered finite-dimensional selection theorem Nöbeling space operatorname{AE}(k)$-space strong fibrewise $k$-universal property
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Zusammenfassung:	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.
ISSN:	1064-5632 1468-4810
DOI:	10.1070/IM8910