Morel–Voevodsky’s unstable pointed motivic homotopy category H(k) over an infinite perfect field is considered. For a smooth affine scheme Y over k, a smooth ind-scheme Fl(Y) and an open subscheme El(Y) are constructed for all l > 0, so that the motivic space Fl(Y)/El(Y) is equivalent in H(k) to the motivic space Ωℙ1∞∑ℙ1∞(Y×Tl),T=(A1/A1−0),l>0. The construction is not functorial on the category of affine schemes but is functorial on the category of so-called framed schemes constructed for this purpose.

Original languageEnglish
Pages (from-to)784-793
Number of pages10
JournalJournal of Mathematical Sciences (United States)
Volume252
Issue number6
DOIs
StatePublished - Feb 2021

    Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

ID: 98952265