functorial property - ορισμός. Τι είναι το functorial property
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Τι (ποιος) είναι functorial property - ορισμός

CONCEPT IN CATEGORY THEORY
Functorial point

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.
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
(properties)
Frequency: The word is one of the 1500 most common words in English.
1.
Someone's property is all the things that belong to them or something that belongs to them. (FORMAL)
Richard could easily destroy her personal property to punish her for walking out on him...
Security forces searched thousands of homes, confiscating weapons and stolen property.
N-UNCOUNT: usu with poss
2.
A property is a building and the land belonging to it. (FORMAL)
This vehicle has been parked on private property.
N-VAR
3.
The properties of a substance or object are the ways in which it behaves in particular conditions.
A radio signal has both electrical and magnetic properties.
N-COUNT: usu pl

Βικιπαίδεια

Element (category theory)

In category theory, the concept of an element, or a point, generalizes the more usual set theoretic concept of an element of a set to an object of any category. This idea often allows restating of definitions or properties of morphisms (such as monomorphism or product) given by a universal property in more familiar terms, by stating their relation to elements. Some very general theorems, such as Yoneda's lemma and the Mitchell embedding theorem, are of great utility for this, by allowing one to work in a context where these translations are valid. This approach to category theory – in particular the use of the Yoneda lemma in this way – is due to Grothendieck, and is often called the method of the functor of points.