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- etimología
Qué (quién) es homotopy triviality - definición
UNIVERSAL BUNDLE DEFINED ON A CLASSIFYING SPACE
Homotopy quotient; Homotopy orbit space
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.
Mapping cone (topology)
![function]] <math>f \colon X \to Y</math>.](https://commons.wikimedia.org/wiki/Special:FilePath/Mapping cone.svg?width=200 "function]] <math>f \colon X \to Y</math>.")
TOPOLOGICAL CONSTRUCTION
Homotopy cofiber; Cofiber
In mathematics, especially homotopy theory, the mapping cone is a construction C_f of topology, analogous to a quotient space. It is also called the homotopy cofiber, and also notated Cf.
Homotopy lifting property
IN ALGEBRAIC TOPOLOGY
Covering homotopy; Covering homotopy axiom
In mathematics, in particular in homotopy theory within algebraic topology, the homotopy lifting property (also known as an instance of the right lifting property or the covering homotopy axiom) is a technical condition on a continuous function from a topological space E to another one, B. It is designed to support the picture of E "above" B by allowing a homotopy taking place in B to be moved "upstairs" to E.
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.
