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Τι (ποιος) είναι homotopy property - ορισμός

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

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

property

PHYSICAL OR INTANGIBLE ENTITY, OWNED BY A PERSON OR A GROUP OF PEOPLE

Legal property; Land owner; Property (ownership right); Rights to property; Res privata; Proprietary right; Property theory

n. anything that is owned by a person or entity. Property is divided into two types: "real property," which is any interest in land, real estate, growing plants or the improvements on it, and "personal property" (sometimes called "personalty"), which is everything else. "Common property" is ownership by more than one person of the same possession. "Community property" is a form of joint ownership between husband and wife recognized in several states. "Separate property" is property owned by one spouse only in a community property state, or a married woman's sole ownership in some states. "Public property" refers to ownership by a governmental body such as the federal, state, county or city governments or their agencies (e.g. school or redevelopment districts). The government and the courts are obligated to protect property rights and to help clarify ownership. See also: common property community property personal property personalty public property real property separate property

Βικιπαίδεια

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