In mathematics, and especially in homotopy theory, a crossed module consists of groups G {\displaystyle G} and H {\displaystyle H} , where G {\displaystyle...

conjecture led to the creation of the Whitehead manifold. The definition of crossed modules is due to him. He also made important contributions in differential...

connects the large solar panels and radiators to the pressurized modules. The pressurized modules are specialized for research, habitation, storage, spacecraft...

free module is a module that has a basis, that is, a generating set consisting of linearly independent elements. Every vector space is a free module, but...

module, lander module, and rover. Chandrayaan-3 encapsulated within LVM3's payload fairing Chandrayaan-3 integrated components The propulsion module carried...

theory Grothendieck topology Topological dynamics Categorical dynamics Crossed module Pseudoalgebra "Double Categories and Pseudo Algebras" (PDF). Archived...

n\geq 3(E)} but for n = 2 {\displaystyle n=2} form the top group of a crossed module with bottom group π 1 ( A ) . {\displaystyle \pi _{1}(A).} There is...

properties of 2-groups are already known. 2-groups can be described using crossed modules and their classifying spaces. Essentially, these are given by a quadruple...

the category of groupoids turns out to be equivalent to the notion of crossed module. This leads to the idea of using multiple groupoid objects in homotopy...

\mathbb {Z} _{4})\cong \mathbb {Z} /2} . Because this is not a trivial crossed-module, it's postnikov invariant is 1 {\displaystyle 1} , giving a homotopy...

Module file (MOD music, tracker music) is a family of music file formats originating from the MOD file format on Amiga systems used in the late 1980s....

accomplish a number of operations through the use of installable mission modules. The governments participating in the Boxer programme have changed as the...

A SIMM (single in-line memory module) is a type of memory module used in computers from the early 1980s to the early 2000s. It is a printed circuit board...

method of simplicial approximation. It contains a lot of material on crossed modules. Fraleigh, John B. (1976), A First Course In Abstract Algebra (2nd ed...

runtime clients. Independent modules provide separate functionality in any or all of the platform components. Ignition SCADA modules provide features such as:...

on standard practice. A crossed helical gear is a gear that operate on non-intersecting, non-parallel axes. The term crossed helical gears has superseded...

whose quotient carries an invariant finite Borel measure Lattice (module), a module over a ring that is embedded in a vector space over a field Lattice...

A phase shift module is a microwave network module which provides a controllable phase shift of the RF signal. Phase shifters are used in phased arrays...

Pygame is a cross-platform set of Python modules designed for writing video games. It includes computer graphics and sound libraries designed to be used...

Module is an American dark electronic band founded in 1999 from Orlando, Florida. Since 2006 they have been based out of Washington state. God Module...

scrutinizer does not allow cross-module flow analysis, so it can only be used to optimize code that's part of one compiling unit (or module). CHICKEN Scheme was...

A power module or power electronic module provides the physical containment for several power components, usually power semiconductor devices. These power...

addresses of externally referenced objects and functions, various kinds of cross module checks (e.g. type checks on externally visible identifiers and in some...

actions of a group G in an associated G-module M to elucidate the properties of the group. By treating the G-module as a kind of topological space with elements...

(now known as KNDS Deutschland), a German defence company. The RCH 155 Module takes the firepower and the range of the PzH 2000 by using its gun (155...

zero algebra over a free R-module allows extending this theory as a Gröbner basis theory for submodules of a free module. This extension allows, for...

described in the equations above) is not zero, the shafts are crossed. For shafts crossed at right angles, the helix angles are of the same hand because...

The Destiny module, also known as the U.S. Lab, is the primary operating facility for U.S. research payloads aboard the International Space Station (ISS)...

section form a module which, when joined with other modules, forms a Virginia-class submarine. Block I boats were built in 10 modules with each submarine...

homotopical excision theorem, involving induced modules for n > 2 {\displaystyle n>2} (crossed modules if n = 2 {\displaystyle n=2} ), which itself is...