In mathematics, a collapsing algebra is a type of Boolean algebra sometimes used in forcing to reduce ("collapse") the size of cardinals. The posets used...

such that x(m) < x(n). (This boolean algebra is called a collapsing algebra, because forcing with it collapses the cardinal κ onto ω.) In particular...

linear algebra, the quotient of a vector space V {\displaystyle V} by a subspace N {\displaystyle N} is a vector space obtained by "collapsing" N {\displaystyle...

ZFC 3.  A Cohen algebra is a Boolean algebra whose completion is free Col collapsing algebra A collapsing algebra Col(κ,λ) collapses cardinals between...

In mathematical logic, the Mostowski collapse lemma, also known as the Shepherdson–Mostowski collapse, is a theorem of set theory introduced by Andrzej...

enveloping algebra. Ado's theorem states that every finite-dimensional Lie algebra over a field of characteristic zero embeds into the Lie algebra of endomorphisms...

the Italian school of algebraic geometry refers to mathematicians and their work in birational geometry, particularly on algebraic surfaces, centered around...

spacetime algebra (STA) is the application of Clifford algebra Cl1,3(R), or equivalently the geometric algebra G(M4) to physics. Spacetime algebra provides...

German mathematician who made many important contributions to abstract algebra. She proved Noether's first and second theorems, which are fundamental...

with 1 thereby collapsing everything above those two implications to 1. Hence every finite chain of two or more elements as a Heyting algebra is subdirectly...

glossary of properties and concepts in algebraic topology in mathematics. See also: glossary of topology, list of algebraic topology topics, glossary of category...

Hilbert spaces (named after David Hilbert) allow the methods of linear algebra and calculus to be generalized from (finite-dimensional) Euclidean vector...

temperature is no longer high enough to prevent it from collapsing under its own weight. The collapse may be stopped by the degeneracy pressure of the star's...

mathematics, a collapse reduces a simplicial complex (or more generally, a CW complex) to a homotopy-equivalent subcomplex. Collapses, like CW complexes...

together) as when a covering map degenerates at a point of a space, with some collapsing of the fibers of the mapping. In complex analysis, the basic model can...

Grassmann algebras which have the same structure as the boson algebra and the fermion algebra of creation and annihilation operators. These algebras, in turn...

of modern algebraic geometry. His research extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory...

be transferred even with a collapsing compass; see compass equivalence theorem. Note however that whilst a non-collapsing compass held against a straightedge...

In mathematics, especially in homological algebra and algebraic topology, a Künneth theorem, also called a Künneth formula, is a statement relating the...

by Written by Original release date  1 "I Accidentally Vaporize My Pre-Algebra Teacher" James Bobin Rick Riordan & Jonathan E. Steinberg December 19, 2023 (2023-12-19)...

is now termed geometric algebra, a special case of the Clifford algebra named in his honour. The operations of geometric algebra have the effect of mirroring...

{\displaystyle e^{X}e^{Y}=e^{Z}} for possibly noncommutative X and Y in the Lie algebra of a Lie group. There are various ways of writing the formula, but all...

manner more closely resembling Hegel's philosophy. Lacan often used an algebraic symbology for his concepts: the big other (l'Autre) is designated A, and...

algebraic topology, the cone of a topological space X {\displaystyle X} is intuitively obtained by stretching X into a cylinder and then collapsing one...

operations, depending on the mathematical system under consideration. Many algebraic structures, such as vector spaces and matrix rings, have some operation...

level, every singularity looks either like a cylinder collapsing to its axis, or a sphere collapsing to its center. Perelman's proof of his canonical neighborhoods...

basic operations defining a vector space in linear algebra (or more generally, a module in abstract algebra). In common geometrical contexts, scalar multiplication...

spaces, and algebras. More generally an analogous result that concerns congruence relations instead of normal subgroups holds for any algebraic structure...

carrying capacity, and should a period of climatic instability ensue, collapsing central government and declining populations can occur. Alternatively...

identified with elements of an abstract C*-algebra A (that is one without a distinguished representation as an algebra of operators) and states are positive...