List of algebraic topology topics information

This is a list of algebraic topology topics. Simplex Simplicial complex Polytope Triangulation Barycentric subdivision Simplicial approximation theorem...

Lens space I-bundle topology glossary List of topology topics List of general topology topics List of algebraic topology topics Publications in topology...

topologies List of general topology topics List of geometric topology topics List of algebraic topology topics List of topological invariants (topological...

discontinuous Sheaf space Topology glossary List of topology topics List of geometric topology topics List of algebraic topology topics Publications in topology...

of algebraic geometry topics List of algebraic surfaces List of algebraic topology topics List of cohomology theories List of circle topics List of topics...

category of topological spaces Equivariant topology List of algebraic topology topics List of examples in general topology List of general topology topics List...

This is a list of algebraic geometry topics, by Wikipedia page. Affine space Projective space Projective line, cross-ratio Projective plane Line at infinity...

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

This is a list of topics around Boolean algebra and propositional logic. Algebra of sets Boolean algebra (structure) Boolean algebra Field of sets Logical...

many of these coarser properties may be captured algebraically, differential topology has strong links to algebraic topology. The central goal of the field...

This is not a list of properties that a topology or topological space might possess; for that, see List of general topology topics and Topological property...

areas of topology, the focus here is on general topology. The following definitions are also fundamental to algebraic topology, differential topology and...

Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...

Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry...

is the foundation of most other branches of topology, including differential topology, geometric topology, and algebraic topology. The fundamental concepts...

system History of non-Euclidean geometry History of topology History of algebraic geometry Erlangen program Noncommutative geometry Topology Convex hull...

dynamics. Euler number (algebraic topology) – now, Euler characteristic, classically the number of vertices minus edges plus faces of a polyhedron. Euler...

matrices Real number Quaternion Quaternion group Tensor Algebraic geometry Algebraic topology Discrete space Fundamental group Geometry Homology Minkowski's...

the study of algebraic groups belongs both to algebraic geometry and group theory. Many groups of geometric transformations are algebraic groups; for...

modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent examples of commutative rings include...

This list of circle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or concretely...

topology as an area distinct from algebraic topology may be said to have originated in the 1935 classification of lens spaces by Reidemeister torsion...

enormous role in algebraic topology. Its influence has gradually expanded and presently includes commutative algebra, algebraic geometry, algebraic number theory...

deformations. Algebraic topology, the use in topology of algebraic methods, mainly homological algebra. Discrete geometry, the study of finite configurations...

Examples of such properties include connectedness, compactness, and various separation axioms. For algebraic invariants see algebraic topology. For any...

of general topology Glossary of algebraic topology Glossary of Riemannian and metric geometry. See also: List of differential geometry topics Words in italics...

fundamental item of study in modern algebraic geometry is the category of schemes. This category admits many different Grothendieck topologies, each of which is...

A separative compact algebraic preorder field is said to be canonical. Given an interior algebra, by replacing the topology of its Stone representation...