Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Projective hierarchy

Index Projective hierarchy

In the mathematical field of descriptive set theory, a subset A of a Polish space X is projective if it is \boldsymbol^1_n for some positive integer n. Here A is. [1]

11 relations: Analytic set, Analytical hierarchy, Baire space (set theory), Cantor space, Complement (set theory), Descriptive set theory, Effective descriptive set theory, Effective Polish space, Polish space, Real line, Springer Science+Business Media.

Analytic set

In descriptive set theory, a subset of a Polish space X is an analytic set if it is a continuous image of a Polish space.

New!!: Projective hierarchy and Analytic set · See more »

Analytical hierarchy

In mathematical logic and descriptive set theory, the analytical hierarchy is an extension of the arithmetical hierarchy.

New!!: Projective hierarchy and Analytical hierarchy · See more »

Baire space (set theory)

In set theory, the Baire space is the set of all infinite sequences of natural numbers with a certain topology.

New!!: Projective hierarchy and Baire space (set theory) · See more »

Cantor space

In mathematics, a Cantor space, named for Georg Cantor, is a topological abstraction of the classical Cantor set: a topological space is a Cantor space if it is homeomorphic to the Cantor set.

New!!: Projective hierarchy and Cantor space · See more »

Complement (set theory)

In set theory, the complement of a set refers to elements not in.

New!!: Projective hierarchy and Complement (set theory) · See more »

Descriptive set theory

In mathematical logic, descriptive set theory (DST) is the study of certain classes of "well-behaved" subsets of the real line and other Polish spaces.

New!!: Projective hierarchy and Descriptive set theory · See more »

Effective descriptive set theory

Effective descriptive set theory is the branch of descriptive set theory dealing with sets of reals having lightface definitions; that is, definitions that do not require an arbitrary real parameter (Moschovakis 1980).

New!!: Projective hierarchy and Effective descriptive set theory · See more »

Effective Polish space

In mathematical logic, an effective Polish space is a complete separable metric space that has a computable presentation.

New!!: Projective hierarchy and Effective Polish space · See more »

Polish space

In the mathematical discipline of general topology, a Polish space is a separable completely metrizable topological space; that is, a space homeomorphic to a complete metric space that has a countable dense subset.

New!!: Projective hierarchy and Polish space · See more »

Real line

In mathematics, the real line, or real number line is the line whose points are the real numbers.

New!!: Projective hierarchy and Real line · See more »

Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

New!!: Projective hierarchy and Springer Science+Business Media · See more »

Redirects here:

Projective set.

References

[1] https://en.wikipedia.org/wiki/Projective_hierarchy

OutgoingIncoming
Hey! We are on Facebook now! »