View source for Cofiber

==English==

===Etymology===
From {{prefix|en|co|fiber}}.

===Noun===
{{en-noun}}

# {{lb|en|maths}} The [[coequalizer]] of a [[mapping]].
#* {{quote-journal|en|year=2016|date=|author=Grigory Garkusha; Alexander Neshitov; Ivan Panin|title=Framed motives of relative motivic spheres|journal=arXiv|url=http://arxiv.org/abs/1604.02732|doi=|volume=|issue=|pages=
|passage=The aim of this paper is to prove the following results stated in [GP1]: for any <math>k</math>-smooth scheme <math>X</math> and any <math>n\geq 1</math> the map of simplicial pointed sheaves <math>(-,\mathbb A^1\rfloor\mathbb G_m)^{\wedge n}_+\to T^n</math> induces a Nisnevich local level weak equivalence of <math>S^1</math>-spectra <math>$M_{fr}(X\times (\mathbb A^1\rfloor \mathbb G_m)^{\wedge n})\to M_{fr}(X\times T^n)</math><math> and the sequence of </math>S^1<math>-spectra </math><math>M_{fr}(X \times T^n \times \mathbb G_m) \to M_{fr}(X \times T^n \times\mathbb A^1) \to M_{fr}(X \times T^{n+1})</math>$ is locally a homotopy '''cofiber''' sequence in the Nisnevich topology.. }}