Similarities between Connected space and Simply connected space
Connected space and Simply connected space have 13 things in common (in Unionpedia): Connected space, Contractible space, Convex set, Covering space, Euclidean space, Genus (mathematics), Homotopy, Long line (topology), Manifold, N-connected space, Topological space, Topological vector space, Topology.
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 Connected space · Connected space and Simply connected space ·
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.
Connected space and Contractible space · Contractible space and Simply connected space ·
Convex set
In convex geometry, a convex set is a subset of an affine space that is closed under convex combinations.
Connected space and Convex set · Convex set and Simply connected space ·
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.
Connected space and Covering space · Covering space and Simply connected space ·
Euclidean space
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
Connected space and Euclidean space · Euclidean space and Simply connected space ·
Genus (mathematics)
In mathematics, genus (plural genera) has a few different, but closely related, meanings.
Connected space and Genus (mathematics) · Genus (mathematics) and Simply connected space ·
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.
Connected space and Homotopy · Homotopy and Simply connected space ·
Long line (topology)
In topology, the long line (or Alexandroff line) is a topological space somewhat similar to the real line, but in a certain way "longer".
Connected space and Long line (topology) · Long line (topology) and Simply connected space ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Connected space and Manifold · Manifold and Simply connected space ·
N-connected space
In the mathematical branch of algebraic topology, specifically homotopy theory, n-connectedness (sometimes, n-simple connectedness) generalizes the concepts of path-connectedness and simple connectedness.
Connected space and N-connected space · N-connected space and Simply connected space ·
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.
Connected space and Topological space · Simply connected space and Topological space ·
Topological vector space
In mathematics, a topological vector space (also called a linear topological space) is one of the basic structures investigated in functional analysis.
Connected space and Topological vector space · Simply connected space and Topological vector space ·
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.
Connected space and Topology · Simply connected space and Topology ·
The list above answers the following questions
- What Connected space and Simply connected space have in common
- What are the similarities between Connected space and Simply connected space
Connected space and Simply connected space Comparison
Connected space has 77 relations, while Simply connected space has 44. As they have in common 13, the Jaccard index is 10.74% = 13 / (77 + 44).
References
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