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What (who) is relative 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

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

Relative velocity

VELOCITY OF AN OBJECT OR OBSERVER B IN THE REST FRAME OF ANOTHER OBJECT OR OBSERVER A

Relative motion; Relative speed

The relative velocity \vec{v}_{B\mid A} (also \vec{v}_{BA} or \vec{v}_{B \operatorname{rel} A}) is the velocity of an object or observer B in the rest frame of another object or observer A.

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

Relative risk

IN STATISTICS AND EPIDEMIOLOGY

Relative Risk; Relative risks; Relative chance; Relative probability; Risk ratio; Adjusted relative risk

The relative risk (RR) or risk ratio is the ratio of the probability of an outcome in an exposed group to the probability of an outcome in an unexposed group. Together with risk difference and odds ratio, relative risk measures the association between the exposure and the outcome.

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

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