cofiber

English

Etymology

co- +‎ fiber

Noun

cofiber (plural cofibers)

1. (mathematics) The coequalizer of a mapping.
   • 2016, 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 $k$-smooth scheme $X$ and any $n\geq 1$ the map of simplicial pointed sheaves $(-,\mathbb {A} ^{1}\rfloor \mathbb {G} _{m})_{+}^{\wedge n}\to T^{n}$ induces a Nisnevich local level weak equivalence of $S^{1}$-spectra $\$M_{fr}(X\times (\mathbb {A} ^{1}\rfloor \mathbb {G} _{m})^{\wedge n})\to M_{fr}(X\times T^{n})$$andthesequenceof$S^1$-spectra$$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..