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What (who) is regular homotopy - definition
Regular homotopy
![Smale's classification of immersions of spheres shows that [[sphere eversion]]s exist, which can be realized via this [[Morin surface]].](https://commons.wikimedia.org/wiki/Special:FilePath/MorinSurfaceFromTheTop.PNG?width=200 "Smale's classification of immersions of spheres shows that [[sphere eversion]]s exist, which can be realized via this [[Morin surface]].")
![This curve has [[total curvature]] 6''π'', and [[turning number]] 3.](https://commons.wikimedia.org/wiki/Special:FilePath/Winding Number Around Point.svg?width=200 "This curve has [[total curvature]] 6''π'', and [[turning number]] 3.")
A HOMOTOPY CONSISTING OF IMMERSIONS
Whitney-Graustein theorem; Whitney–Graustein theorem
In the mathematical field of topology, a regular homotopy refers to a special kind of homotopy between immersions of one manifold in another. The homotopy must be a 1-parameter family of immersions.
Clerics regular
A CATHOLIC PRIEST, DEACON OR BISHOP WHO IS A MEMBER OF A RELIGIOUS INSTITUTE
Clerk regular; Clerk Regular; Regular Clerk; Regular Clerks; Clerks regular; Regular clerics; Clerks Regular; Clerics Regular; Clerics regular
Clerics regular are clerics (mostly priests) who are members of a religious order under a rule of life (regular). Clerics regular differ from canons regular in that they devote themselves more to pastoral care, in place of an obligation to the praying of the Liturgy of the Hours in common, and have fewer observances in their rule of life.
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.
