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


Index N-skeleton

In mathematics, particularly in algebraic topology, the of a topological space X presented as a simplicial complex (resp. CW complex) refers to the subspace Xn that is the union of the simplices of X (resp. cells of X) of dimensions In other words, given an inductive definition of a complex, the is obtained by stopping at the. [1]

26 relations: Algebraic geometry, Algebraic topology, Computer graphics, CW complex, Discrete space, Filtration (mathematics), Geometry, Homotopical algebra, Hypercovering, Image functors for sheaves, Mathematical induction, Mathematics, Nerve (category theory), Obstruction theory, Peter McMullen, Polytope, Pullback (category theory), Simplicial complex, Simplicial set, Spectral sequence, Springer Science+Business Media, Subspace topology, Tesseract, Topological graph, Topological skeleton, Topological space.

Algebraic geometry

Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.

New!!: N-skeleton and Algebraic geometry · See more »

Algebraic topology

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.

New!!: N-skeleton and Algebraic topology · See more »

Computer graphics

Computer graphics are pictures and films created using computers.

New!!: N-skeleton and Computer graphics · See more »

CW complex

In topology, a CW complex is a type of topological space introduced by J. H. C. Whitehead to meet the needs of homotopy theory.

New!!: N-skeleton and CW complex · See more »

Discrete space

In topology, a discrete space is a particularly simple example of a topological space or similar structure, one in which the points form a discontinuous sequence, meaning they are isolated from each other in a certain sense.

New!!: N-skeleton and Discrete space · See more »

Filtration (mathematics)

In mathematics, a filtration \mathcal is an indexed set S_i of subobjects of a given algebraic structure S, with the index i running over some index set I that is a totally ordered set, subject to the condition that If the index i is the time parameter of some stochastic process, then the filtration can be interpreted as representing all historical but not future information available about the stochastic process, with the algebraic object S_i gaining in complexity with time.

New!!: N-skeleton and Filtration (mathematics) · See more »


Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

New!!: N-skeleton and Geometry · See more »

Homotopical algebra

In mathematics, homotopical algebra is a collection of concepts comprising the nonabelian aspects of homological algebra as well as possibly the abelian aspects as special cases.

New!!: N-skeleton and Homotopical algebra · See more »


In mathematics, and in particular homotopy theory, a hypercovering (or hypercover) is a simplicial object that generalises the Čech nerve of a cover.

New!!: N-skeleton and Hypercovering · See more »

Image functors for sheaves

In mathematics, especially in sheaf theory, a domain applied in areas such as topology, logic and algebraic geometry, there are four image functors for sheaves which belong together in various senses.

New!!: N-skeleton and Image functors for sheaves · See more »

Mathematical induction

Mathematical induction is a mathematical proof technique.

New!!: N-skeleton and Mathematical induction · See more »


Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

New!!: N-skeleton and Mathematics · See more »

Nerve (category theory)

In category theory, a discipline within mathematics, the nerve N(C) of a small category C is a simplicial set constructed from the objects and morphisms of C. The geometric realization of this simplicial set is a topological space, called the classifying space of the category C. These closely related objects can provide information about some familiar and useful categories using algebraic topology, most often homotopy theory.

New!!: N-skeleton and Nerve (category theory) · See more »

Obstruction theory

In mathematics, obstruction theory is a name given to two different mathematical theories, both of which yield cohomological invariants.

New!!: N-skeleton and Obstruction theory · See more »

Peter McMullen

Peter McMullen (born 11 May 1942) is a British mathematician, a professor emeritus of mathematics at University College London.

New!!: N-skeleton and Peter McMullen · See more »


In elementary geometry, a polytope is a geometric object with "flat" sides.

New!!: N-skeleton and Polytope · See more »

Pullback (category theory)

In category theory, a branch of mathematics, a pullback (also called a fiber product, fibre product, fibered product or Cartesian square) is the limit of a diagram consisting of two morphisms and with a common codomain.

New!!: N-skeleton and Pullback (category theory) · See more »

Simplicial complex

In mathematics, a simplicial complex is a set composed of points, line segments, triangles, and their ''n''-dimensional counterparts (see illustration).

New!!: N-skeleton and Simplicial complex · See more »

Simplicial set

In mathematics, a simplicial set is an object made up of "simplices" in a specific way.

New!!: N-skeleton and Simplicial set · See more »

Spectral sequence

In homological algebra and algebraic topology, a spectral sequence is a means of computing homology groups by taking successive approximations.

New!!: N-skeleton and Spectral sequence · 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!!: N-skeleton and Springer Science+Business Media · See more »

Subspace topology

In topology and related areas of mathematics, a subspace of a topological space X is a subset S of X which is equipped with a topology induced from that of X called the subspace topology (or the relative topology, or the induced topology, or the trace topology).

New!!: N-skeleton and Subspace topology · See more »


In geometry, the tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square.

New!!: N-skeleton and Tesseract · See more »

Topological graph

In mathematics, a topological graph is a representation of a graph in the plane, where the ''vertices'' of the graph are represented by distinct points and the ''edges'' by Jordan arcs (connected pieces of ''Jordan curves'') joining the corresponding pairs of points.

New!!: N-skeleton and Topological graph · See more »

Topological skeleton

In shape analysis, skeleton (or topological skeleton) of a shape is a thin version of that shape that is equidistant to its boundaries.

New!!: N-skeleton and Topological skeleton · See more »

Topological space

In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.

New!!: N-skeleton and Topological space · See more »

Redirects here:

0-coskeleton, 0-skeleton, 1-coskeleton, 1-skeleton, Coskeleton, D-skeleton, N-coskeleton, Skeletal filtration, Skeleton (topology).


[1] https://en.wikipedia.org/wiki/N-skeleton

Hey! We are on Facebook now! »