Faster access than browser!Similarities between Cayley graph and Orbifold
Cayley graph and Orbifold have 12 things in common (in Unionpedia): Covering space, Cyclic group, Dihedral group, Fundamental group, Geometric group theory, Group (mathematics), Group action, Group homomorphism, John Stillwell, Metric space, Simply connected space, Torus.
Covering space
In mathematics, more specifically algebraic topology, a covering map (also covering projection) is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p (as shown in the image); the precise definition is given below.
Cayley graph and Covering space · Covering space and Orbifold ·
Cyclic group
In algebra, a cyclic group or monogenous group is a group that is generated by a single element.
Cayley graph and Cyclic group · Cyclic group and Orbifold ·
Dihedral group
In mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections.
Cayley graph and Dihedral group · Dihedral group 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.
Cayley graph and Fundamental group · Fundamental group and Orbifold ·
Geometric group theory
Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when the groups in question are realized as geometric symmetries or continuous transformations of some spaces).
Cayley graph and Geometric group theory · Geometric group theory and Orbifold ·
Group (mathematics)
In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.
Cayley graph and Group (mathematics) · Group (mathematics) and Orbifold ·
Group action
In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space.
Cayley graph and Group action · Group action 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".
Cayley graph and Group homomorphism · Group homomorphism and Orbifold ·
John Stillwell
John Colin Stillwell (born 1942) is an Australian mathematician on the faculties of the University of San Francisco and Monash University.
Cayley graph and John Stillwell · John Stillwell and Orbifold ·
Metric space
In mathematics, a metric space is a set for which distances between all members of the set are defined.
Cayley graph and Metric space · Metric space 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.
Cayley graph and Simply connected space · Orbifold and Simply connected space ·
Torus
In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.
The list above answers the following questions
- What Cayley graph and Orbifold have in common
- What are the similarities between Cayley graph and Orbifold
Cayley graph and Orbifold Comparison
Cayley graph has 68 relations, while Orbifold has 139. As they have in common 12, the Jaccard index is 5.80% = 12 / (68 + 139).
References
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