14 relations: Bolza surface, Compact space, Connected space, Connected sum, Double torus knot, Genus (mathematics), Genus-three surface, Knot theory, Manifold, Real projective plane, Riemann surface, Surface (topology), Torus, Two-dimensional space.
Bolza surface
In mathematics, the Bolza surface, alternatively, complex algebraic Bolza curve (introduced by), is a compact Riemann surface of genus 2 with the highest possible order of the conformal automorphism group in this genus, namely GL2(3) of order 48.
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Compact space
In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).
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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.
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Connected sum
In mathematics, specifically in topology, the operation of connected sum is a geometric modification on manifolds.
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Double torus knot
In knot theory, a double torus knot is a closed curve drawn on the surface called a double torus (think of the surface of two doughnuts stuck together).
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Genus (mathematics)
In mathematics, genus (plural genera) has a few different, but closely related, meanings.
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Genus-three surface
In geometry, a genus-three surface is a smooth closed surface with three holes, or, in other words, a surface of genus three.
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Knot theory
In topology, knot theory is the study of mathematical knots.
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Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
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Real projective plane
In mathematics, the real projective plane is an example of a compact non-orientable two-dimensional manifold; in other words, a one-sided surface.
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Riemann surface
In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold.
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Surface (topology)
In topology and differential geometry, a surface is a two-dimensional manifold, and, as such, may be an "abstract surface" not embedded in any Euclidean space.
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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.
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Two-dimensional space
Two-dimensional space or bi-dimensional space is a geometric setting in which two values (called parameters) are required to determine the position of an element (i.e., point).
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Double torus, Genus 2 surface, Genus two surface, Genus-2 surface.