Similarities between Covering space and List of general topology topics
Covering space and List of general topology topics have 20 things in common (in Unionpedia): Algebraic topology, Connected space, Continuous function, Cover (topology), Covering space, CW complex, Discrete space, Group action, Homeomorphism, Homotopy, Local homeomorphism, Manifold, Neighbourhood (mathematics), Open set, Second-countable space, Semi-locally simply connected, Simply connected space, Topological group, Topological space, Unit interval.
Algebraic topology
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.
Algebraic topology and Covering space · Algebraic topology and List of general topology topics ·
Connected space
In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint nonempty open subsets.
Connected space and Covering space · Connected space and List of general topology topics ·
Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
Continuous function and Covering space · Continuous function and List of general topology topics ·
Cover (topology)
In mathematics, a cover of a set X is a collection of sets whose union contains X as a subset.
Cover (topology) and Covering space · Cover (topology) and List of general topology topics ·
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.
Covering space and Covering space · Covering space and List of general topology topics ·
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.
CW complex and Covering space · CW complex and List of general topology topics ·
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.
Covering space and Discrete space · Discrete space and List of general topology topics ·
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.
Covering space and Group action · Group action and List of general topology topics ·
Homeomorphism
In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function.
Covering space and Homeomorphism · Homeomorphism and List of general topology topics ·
Homotopy
In topology, two continuous functions from one topological space to another are called homotopic (from Greek ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions.
Covering space and Homotopy · Homotopy and List of general topology topics ·
Local homeomorphism
In mathematics, more specifically topology, a local homeomorphism is a function between topological spaces that, intuitively, preserves local (though not necessarily global) structure.
Covering space and Local homeomorphism · List of general topology topics and Local homeomorphism ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Covering space and Manifold · List of general topology topics and Manifold ·
Neighbourhood (mathematics)
In topology and related areas of mathematics, a neighbourhood (or neighborhood) is one of the basic concepts in a topological space.
Covering space and Neighbourhood (mathematics) · List of general topology topics and Neighbourhood (mathematics) ·
Open set
In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.
Covering space and Open set · List of general topology topics and Open set ·
Second-countable space
In topology, a second-countable space, also called a completely separable space, is a topological space whose topology has a countable base.
Covering space and Second-countable space · List of general topology topics and Second-countable space ·
Semi-locally simply connected
In mathematics, specifically algebraic topology, semi-locally simply connected is a certain local connectedness condition that arises in the theory of covering spaces.
Covering space and Semi-locally simply connected · List of general topology topics and Semi-locally simply connected ·
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.
Covering space and Simply connected space · List of general topology topics and Simply connected space ·
Topological group
In mathematics, a topological group is a group G together with a topology on G such that the group's binary operation and the group's inverse function are continuous functions with respect to the topology.
Covering space and Topological group · List of general topology topics and Topological group ·
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.
Covering space and Topological space · List of general topology topics and Topological space ·
Unit interval
In mathematics, the unit interval is the closed interval, that is, the set of all real numbers that are greater than or equal to 0 and less than or equal to 1.
Covering space and Unit interval · List of general topology topics and Unit interval ·
The list above answers the following questions
- What Covering space and List of general topology topics have in common
- What are the similarities between Covering space and List of general topology topics
Covering space and List of general topology topics Comparison
Covering space has 120 relations, while List of general topology topics has 166. As they have in common 20, the Jaccard index is 6.99% = 20 / (120 + 166).
References
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