Approximation of maps into spheres by regulous maps
pl
dc.type
JournalArticle
pl
dc.description.physical
29-34
pl
dc.abstract.en
Let X be a compact real algebraic set of dimension n. We prove that every Euclidean continuous map from X into the unit n-sphere can be approximated by a regulous map. This strengthens and generalizes previously known results.
pl
dc.subject.en
real algebraic variety
pl
dc.subject.en
regulous map
pl
dc.subject.en
sphere
pl
dc.subject.en
approximation
pl
dc.description.volume
110
pl
dc.description.number
1
pl
dc.identifier.doi
10.1007/s00013-017-1092-6
pl
dc.identifier.eissn
1420-8938
pl
dc.title.journal
Archiv der Mathematik
pl
dc.language.container
eng
pl
dc.affiliation
Wydział Matematyki i Informatyki
pl
dc.subtype
Article
pl
dc.rights.original
CC-BY; inne; ostateczna wersja wydawcy; w momencie opublikowania; 0