英和和英

名詞

cofiber (複数形 cofibers)

1. (数学) The coequalizer of a mapping.
   • Template:invoke:time, Grigory Garkusha, Alexander Neshitov, Ivan Panin, “Framed motives of relative motivic spheres”, in arXiv^[1]:

     The aim of this paper is to prove the following results stated in [GP1]: for any ${\displaystyle k}$-smooth scheme ${\displaystyle X}$ and any ${\displaystyle n\geq 1}$ the map of simplicial pointed sheaves ${\displaystyle (-,\mathbb {A} ^{1}\rfloor \mathbb {G} _{m})_{+}^{\wedge n}\to T^{n}}$ induces a Nisnevich local level weak equivalence of ${\displaystyle S^{1}}$-spectra ${\displaystyle \$M_{fr}(X\times (\mathbb {A} ^{1}\rfloor \mathbb {G} _{m})^{\wedge n})\to M_{fr}(X\times T^{n})}$${\displaystyle andthesequenceof}$S^1${\displaystyle -spectra}$${\displaystyle M_{fr}(X\times T^{n}\times \mathbb {G} _{m})\to M_{fr}(X\times T^{n}\times \mathbb {A} ^{1})\to M_{fr}(X\times T^{n+1})}$$ is locally a homotopy cofiber sequence in the Nisnevich topology..