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Τι (ποιος) είναι homotopy type - 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

Étale homotopy type

ANALOGUE OF HOMOTOPY TYPE FOR ALGEBRAIC VARIETIES

Étale homotopy group; Étale homotopy theory; Etale homotopy type; Étale homotopy

In mathematics, especially in algebraic geometry, the étale homotopy type is an analogue of the homotopy type of topological spaces for algebraic varieties.

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

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

Type (biology)

ANCHORING POINT (OF A NAME) IN TAXONOMY

Type specimen; Neotype; Biological types; Lectotype; Type (botany); Type (zoology); Botanical type; Clonotype; Type locality (biology); Type material; Paralectotype; Typus; Onomatophore; Cotype; Biological type; Hapantotype; Type specimens; Types in zoology; Type location (biology); Type illustration; Locality (biology); Type-specimen; Orthotype; Isoneotype; Plastotype; Isolectotype; Iconotype; Type series; Neotypification; Lectotypification; Ergatotype; Lectotype specimen; Type host; Typetaxon; Type (taxonomy); Series of type specimens; Hypotype

In biology, a type is a particular [(or in some cases a group of specimens) of an organism] to which the [[scientific name of that organism is formally attached. In other words, a type is an example that serves to anchor or centralize the defining features of that particular taxon.

https://en.wikipedia.org/wiki/Type_(biology)

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