Diclib.com
ChatGPT AI Dictionary

Dictionary Lookup Custom Solutions

Enter a word or phrase in any language 👆

Language:

Translation and analysis of words by ChatGPT artificial intelligence

On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:

how the word is used
frequency of use
it is used more often in oral or written speech
word translation options
usage examples (several phrases with translation)
etymology

What (who) is lifting homotopy - definition

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

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.

https://en.wikipedia.org/wiki/Homotopy_lifting_property

Lifting equipment

EQUIPMENT THAT CAN BE USED TO LIFT LOADS

Lifting gear; Lifting devices; Lifting device

Lifting equipment, also known as lifting gear, is a general term for any equipment that can be used to lift and lower loads. Types of lifting equipment includes heavy machinery such as the patient lift, overhead cranes, forklifts, jacks, building cradles, passenger lifts, and can also include smaller accessories such as chains, hooks, and rope.

https://en.wikipedia.org/wiki/Lifting_equipment

Homotopy

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.

https://en.wikipedia.org/wiki/Homotopy

Wikipedia

Homotopy

In topology, a branch of mathematics, two continuous functions from one topological space to another are called homotopic (from Ancient Greek: ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy (, hə-MO-tə-pee; , HOH-moh-toh-pee) between the two functions. A notable use of homotopy is the definition of homotopy groups and cohomotopy groups, important invariants in algebraic topology.

In practice, there are technical difficulties in using homotopies with certain spaces. Algebraic topologists work with compactly generated spaces, CW complexes, or spectra.

https://en.wikipedia.org/wiki/Homotopy