Examples of 'is homeomorphic' in a sentence
Meaning of "is homeomorphic"
is homeomorphic - refers to a mathematical concept where two objects are related by a continuous bijective function with a continuous inverse function. This phrase is commonly used in discussions about topology or geometry
How to use "is homeomorphic" in a sentence
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is homeomorphic
A space is metrizable if it is homeomorphic to a metric space.
The surface described above, given the relative topology from R3, is homeomorphic.
A space is topologically complete if it is homeomorphic to a complete metric space.
An - ball is homeomorphic to an - ball if and only if.
In particular each fiber of the bundle is homeomorphic to the group G itself.
A Klein bottle is homeomorphic to the connected sum of two projective planes.
As a topological space, the real line is homeomorphic to the open interval.
An n-ball is homeomorphic to an m-ball if and only if n m.
In particular, the open unit disk is homeomorphic to the whole plane.
The 3-sphere is homeomorphic to the one-point compactification of R3.
Mathematically, a knot is defined as a subset of three-dimensional space that is homeomorphic to a circle.
Every topological surface is homeomorphic to a polyhedral surface such that all facets are triangles.
A convex polytope, like any compact convex subset of Rn, is homeomorphic to a closed ball.
The helicoid is homeomorphic to the plane formula_5.
Every nonempty totally-disconnected perfect compact metric space is homeomorphic to the Cantor set.
See also
The boundary is homeomorphic to formula 2, the ordinary torus.
An n-dimensional open cell is a topological space that is homeomorphic to the n-dimensional open ball.
If a closed manifold Mn ( n ≠ 3 ) is homotopy-equivalent to Sn then Mn is homeomorphic to Sn.
Every separable metric space is homeomorphic to a subset of the Hilbert cube.
The conjecture states: Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.
Every countably infinite compact K is homeomorphic to some closed interval of ordinal numbers.
The self-intersecting disk is homeomorphic to an ordinary disk.
The wedge sum of two circles is homeomorphic to a figure-eight space.
An exotic R4 is a differentiable manifold that is homeomorphic but not diffeomorphic to the Euclidean space R4.
The orbit space of this action is homeomorphic to the two-sphere S2.
In general, any topological space that is homeomorphic to the 3-sphere is called a topological 3-sphere.
