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Что (кто) такое periodicity property - определение

THEOREM ON HOMOTOPY GROUPS

Bott periodicity; Bott element; Bott's periodicity theorem

3-Base Periodicity Property

3-periodicity property

The three-base periodicity property in the field of Genomics is a property that is characteristic of protein-coding DNA sequences. The existence of this property can be shown by performing Fourier analysis on signals derived from segments of DNA sequences.

https://en.wikipedia.org/wiki/3-Base_Periodicity_Property

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

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.

1.

Quality, attribute, peculiarity, characteristic.

2.

Wealth, estate, goods, possessions, one's own, thing owned.

3.

Ownership, exclusive right.

4.

Character, disposition.

5.

Participation.

Википедия

Bott periodicity theorem

In mathematics, the Bott periodicity theorem describes a periodicity in the homotopy groups of classical groups, discovered by Raoul Bott (1957, 1959), which proved to be of foundational significance for much further research, in particular in K-theory of stable complex vector bundles, as well as the stable homotopy groups of spheres. Bott periodicity can be formulated in numerous ways, with the periodicity in question always appearing as a period-2 phenomenon, with respect to dimension, for the theory associated to the unitary group. See for example topological K-theory.

There are corresponding period-8 phenomena for the matching theories, (real) KO-theory and (quaternionic) KSp-theory, associated to the real orthogonal group and the quaternionic symplectic group, respectively. The J-homomorphism is a homomorphism from the homotopy groups of orthogonal groups to stable homotopy groups of spheres, which causes the period 8 Bott periodicity to be visible in the stable homotopy groups of spheres.

https://en.wikipedia.org/wiki/Bott periodicity theorem