In mathematics, Kan complexes and Kan fibrations are part of the theory of simplicial sets. Kan fibrations are the fibrations of the standard model category...

Kan fibration is one with the right lifting property with respect to every horn inclusion; hence, a Kan fibration is both a left and right fibration....

Daniel Marinus Kan (or simply Dan Kan) (August 4, 1927 – August 4, 2013) was a Dutch mathematician working in category theory and homotopy theory. He was...

extension to a map Δ [ n ] → C {\displaystyle \Delta [n]\to C} . (See Kan fibration#Definitions for a definition of the simplicial sets Δ [ n ] {\displaystyle...

of a model category M, a fibrant object A of M is an object that has a fibration to the terminal object of the category. The fibrant objects of a closed...

point of the theory is that the geometric realization of a Kan fibration is a Serre fibration of spaces. With the model structure in place, a homotopy theory...

universal fibration was univalent: the associated fibration of pairwise homotopy equivalences between the fibers is equivalent to the paths-space fibration of...

Then, naturally associated to X {\displaystyle X} , there is a Serre fibration t x : T X → X {\displaystyle t_{x}\colon T_{X}\to X} where T X {\displaystyle...

{\displaystyle [0,1]} .) This definition is formally dual to that of a fibration, which is required to satisfy the homotopy lifting property with respect...

pointed finite sets) to C provided C is pointed. op-fibration A functor π:C → D is an op-fibration if, for each object x in C and each morphism g : π(x)...

implicit. A fibration in the sense of Serre is the dual notion of a cofibration: that is, a map p : X → B {\displaystyle p:X\to B} is a fibration if given...

referred to below makes analogies between these ideas and the notion of fibration of spaces. These ideas simplify in the case of groupoids, as shown in...

A fiber laser (or fibre laser in Commonwealth English) is a laser in which the active gain medium is an optical fiber doped with rare-earth elements such...

subject to the following axioms. A fibration that is also a weak equivalence is called an acyclic (or trivial) fibration and a cofibration that is also a...

categories fibrations and cofibrations are independent and that for an ABC model category MD is an ABC model category. To an ABC (co)fibration category...

Optoelectronics Research Centre from 1989 to 1995. He was Royal Society Kan Tong Po visiting professor at the University of Hong Kong from 1996 to 2001...

theory, a branch of mathematics, a pullback (also called a fiber product, fibre product, fibered product or Cartesian square) is the limit of a diagram...

high-fire-risk applications, such as firefighting and front-line combat. Kan, Chi-wai; Yam, Lim-yung; Ng, Sun-pui (2013-10-31). "The Effect of Stretching...

Dold–Thom theorem, the Dold–Kan correspondence, and introduced Dold manifolds, Dold–Puppe stabilization, and Dold fibrations. Albrecht Dold was born in...

Durian Thai pronunciation: [tʰúriːən kʰǐow]), Kan Yao (D158, Thai: ก้านยาว – Long Stem Thai pronunciation: [kâːn jaːw]), Mon Thong (D159, Thai: หมอนทอง – Golden...

Kabushiki gaisha 日本電信電話株式会社等に関する法律, Nippon Denshin Denwa kabushiki gaisha-tō ni kan-suru hōritsu, Law No. 85 of December 25, 1984 "NTT Group Website". Nippon...

DragTimes. Johansson, Anders; Axelsson, Hanna (January 14, 2009), "'Ghostrider' kan vara avslöjad: Har retat gallfeber på polisen i flera år" ['Ghostrider' can...

homotopy inverse. Analysis Situs approximate fibration 1.  An approximate fibration, a generalization of a fibration and a projection in a locally trivial bundle...

25, 2017. Hack, Rachel (September 3, 2013). "Rolling into Roeland Park, Kan". Official Google Fiber Blog. Archived from the original on November 12,...

elaborated at Lattice of covering groups. Fibrations provide a very powerful means to compute homotopy groups. A fibration f the so-called total space, and the...

defeat against the Northern Wei. They ousted the local Gaochang governor Kan Shuang (闞爽) who escaped to the Rouran Khaganate, and they established the...

sequence for the singular cohomology of the pullback of a fibration Serre spectral sequence of a fibration Adams spectral sequence in stable homotopy theory Adams–Novikov...

CD003132. doi:10.1002/14651858.CD003132.pub2. PMID 20091539. Wu Y, Zhu S, Lv Z, Kan S, Wu Q, Song W, et al. (December 2019). "Effects of therapeutic ultrasound...

zienswijze ook op andere (doeltreffender) wijze en met betere bewoordingen kan illustreren. In doing so, within the framework of the exaggeration permitted...

05.07.2004 372,363,730 104,422,482 Machinery http://www.dunan.net 002012 KAN 05.07.2004 194,789,298 194,789,298 Paper & Printing http://www.zjkan.com...