- In
mathematics and more
specifically in topology, a
homeomorphism (from Gr****
roots meaning "similar shape",
named by
Henri Poincaré), also
called topological...
- In
algebraic geometry, a
universal homeomorphism is a
morphism of
schemes f : X → Y {\displaystyle f:X\to Y} such that, for each
morphism Y ′ → Y {\displaystyle...
- mathematics,
particularly topology, the
homeomorphism group of a
topological space is the
group consisting of all
homeomorphisms from the
space to
itself with function...
- In mathematics, more
specifically topology, a
local homeomorphism is a
function between topological spaces that, intuitively,
preserves local (though...
-
notion of a triangulation. An
isomorphism of PL
manifolds is
called a PL
homeomorphism. PL, or more
precisely PDIFF, sits
between DIFF (the
category of smooth...
-
closely related to the
stable homeomorphism conjecture (now proved)
which states that
every orientation-preserving
homeomorphism of
Euclidean space is stable...
- demonstrate. If ( X , d ) {\displaystyle (X,d)} is a
metric space, a
homeomorphism f : X → X {\displaystyle f\colon X\to X} is said to be
expansive if...
-
called a
homeomorphism. If a
continuous bijection has as its
domain a
compact space and its
codomain is Hausdorff, then it is a
homeomorphism.
Given a...
-
simplicial complexes by the
choice of an
appropriate homeomorphism. A
space that
admits such a
homeomorphism is
called a
triangulable space. Triangulations...
- {\displaystyle \left\{U_{\alpha }\right\}_{\alpha \in I},} and a
collection of
homeomorphisms ϕ α : U α → F α {\displaystyle \phi _{\alpha }:U_{\alpha }\to F_{\alpha...
