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- etymologie
Wat (wie) is algebraic homotopy - definitie
UNIVERSAL BUNDLE DEFINED ON A CLASSIFYING SPACE
Homotopy quotient; Homotopy orbit space
Algebraic extension
FIELD EXTENSION VIA ADJOINING SOLUTIONS TO POLYNOMIALS WITH COEFFICIENTS IN THE SUBFIELD
Algebraic extension of a field; Algebraic field extension; Relative algebraic closure; Algebraic extension field
In mathematics, an algebraic extension is a field extension such that every element of the larger field is algebraic over the smaller field ; that is, if every element of is a root of a non-zero polynomial with coefficients in .Fraleigh (2014), Definition 31.
Homotopy
![isotopy]].](https://commons.wikimedia.org/wiki/Special:FilePath/Mug and Torus morph.gif?width=200 "isotopy]].")
CONTINUOUS DEFORMATION BETWEEN TWO CONTINUOUS MAPS
Homotopic; Homotopy equivalent; Homotopy equivalence; Homotopy invariant; Homotopy class; Null-homotopic; Homotopy type; Nullhomotopic; Homotopy invariance; Homotopy of maps; Homotopically equivalent; Homotopic maps; Homotopy of paths; Homotopical; Homotopy classes; Null-homotopy; Null homotopy; Nullhomotopic map; Null homotopic; Relative homotopy; Homotopy retract; Continuous deformation; Relative homotopy class; Homotopy-equivalent; Homotopy extension and lifting property; Isotopy (topology); Homotopies
In topology, a branch of mathematics, two continuous functions from one topological space to another are called homotopic (from "same, similar" and "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy (, ; , ) between the two functions. A notable use of homotopy is the definition of homotopy groups and cohomotopy groups, important invariants in algebraic topology.
Derived algebraic geometry
BRANCH OF MATHEMATICS GENERALIZING ALGEBRAIC GEOMETRY SO THAT COMMUTATIVE RINGS PROVIDING LOCAL CHARTS ARE REPLACED BY SIMPLICIAL COMMUTATIVE RINGS OR E∞-RING SPECTRA, WHOSE HIGHER HOMOTOPY GROUPS ACCOUNT FOR NON-DISCRETENESS OF THE STRUCTURE SHEAF
Homotopical algebraic geometry; Spectral algebraic geometry
Derived algebraic geometry is a branch of mathematics that generalizes algebraic geometry to a situation where commutative rings, which provide local charts, are replaced by either differential graded algebras (over \mathbb{Q}), simplicial commutative rings or E_{\infty}-ring spectra from algebraic topology, whose higher homotopy groups account for the non-discreteness (e.g.
Wikipedia
Universal bundle
In mathematics, the universal bundle in the theory of fiber bundles with structure group a given topological group G, is a specific bundle over a classifying space BG, such that every bundle with the given structure group G over M is a pullback by means of a continuous map M → BG.
