Similarities between Homotopy and Orbifold
Homotopy and Orbifold have 10 things in common (in Unionpedia): Category theory, Contractible space, Euclidean space, Fundamental group, Group homomorphism, Möbius strip, Simply connected space, Spacetime, Topology, Unit disk.
Category theory
Category theory formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms).
Category theory and Homotopy · Category theory and Orbifold ·
Contractible space
In mathematics, a topological space X is contractible if the identity map on X is null-homotopic, i.e. if it is homotopic to some constant map.
Contractible space and Homotopy · Contractible space and Orbifold ·
Euclidean space
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
Euclidean space and Homotopy · Euclidean space and Orbifold ·
Fundamental group
In the mathematical field of algebraic topology, the fundamental group is a mathematical group associated to any given pointed topological space that provides a way to determine when two paths, starting and ending at a fixed base point, can be continuously deformed into each other.
Fundamental group and Homotopy · Fundamental group and Orbifold ·
Group homomorphism
In mathematics, given two groups, (G, ∗) and (H, ·), a group homomorphism from (G, ∗) to (H, ·) is a function h: G → H such that for all u and v in G it holds that where the group operation on the left hand side of the equation is that of G and on the right hand side that of H. From this property, one can deduce that h maps the identity element eG of G to the identity element eH of H, and it also maps inverses to inverses in the sense that Hence one can say that h "is compatible with the group structure".
Group homomorphism and Homotopy · Group homomorphism and Orbifold ·
Möbius strip
The Möbius strip or Möbius band, also spelled Mobius or Moebius, is a surface with only one side (when embedded in three-dimensional Euclidean space) and only one boundary.
Homotopy and Möbius strip · Möbius strip and Orbifold ·
Simply connected space
In topology, a topological space is called simply connected (or 1-connected, or 1-simply connected) if it is path-connected and every path between two points can be continuously transformed (intuitively for embedded spaces, staying within the space) into any other such path while preserving the two endpoints in question.
Homotopy and Simply connected space · Orbifold and Simply connected space ·
Spacetime
In physics, spacetime is any mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum.
Homotopy and Spacetime · Orbifold and Spacetime ·
Topology
In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.
Homotopy and Topology · Orbifold and Topology ·
Unit disk
In mathematics, the open unit disk (or disc) around P (where P is a given point in the plane), is the set of points whose distance from P is less than 1: The closed unit disk around P is the set of points whose distance from P is less than or equal to one: Unit disks are special cases of disks and unit balls; as such, they contain the interior of the unit circle and, in the case of the closed unit disk, the unit circle itself.
The list above answers the following questions
- What Homotopy and Orbifold have in common
- What are the similarities between Homotopy and Orbifold
Homotopy and Orbifold Comparison
Homotopy has 81 relations, while Orbifold has 139. As they have in common 10, the Jaccard index is 4.55% = 10 / (81 + 139).
References
This article shows the relationship between Homotopy and Orbifold. To access each article from which the information was extracted, please visit: