Provides explicit triples (r, n, ℓ) with r ≥ 2 for which the natural projection V_{r+ℓ}(A^n) → V_r(A^n) admits no section, yielding stably free modules without free summands, plus a motivic stable splitting of V_2(A^n).
A generalized Blakers-Massey theorem
3 Pith papers cite this work. Polarity classification is still indexing.
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The condensed fundamental group of Spec(Z) is non-trivial, hence Spec(Z) is not condensed contractible.
Shape theory for condensed anima recovers classical shape for paracompact compactly generated and locally contractible spaces while extending sheaf-condensed cohomology comparisons.
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Shape theory for condensed anima
Shape theory for condensed anima recovers classical shape for paracompact compactly generated and locally contractible spaces while extending sheaf-condensed cohomology comparisons.