- complex.
Spaces being homeomorphic to a
simplicial complex are
called triangulable.
Triangulation has
various uses in
different branches of mathematics...
- {\displaystyle f\colon X\rightarrow X\,} be a
continuous map from a
compact triangulable space X {\displaystyle X} to itself.
Define the
Lefschetz number Λ f...
-
geometric topology is the
conjecture that any two
triangulations of a
triangulable space have a
common refinement, a
single triangulation that is a subdivision...
- this
shows that the E 8 {\displaystyle E_{8}}
manifold is not even
triangulable as a
simplicial complex. The
manifold can be
constructed by
first plumbing...
- particular, the
example originally given by
Galewski and
Stern is not
triangulable. Eilenberg–MacLane
space Moore space (algebraic topology) "Is the universe...
- a now re****ed
conjecture asking whether any two
triangulations of a
triangulable space have
subdivisions that are
combinatorially equivalent, i.e. the...
- Seiberg-Witten
Floer homology,
which he used to
prove the
existence of non-
triangulable manifolds in high dimensions." He has one of the best
records ever in...
- ) Thom
spaces of
vector bundles over
triangulable compact manifolds are
examples of pseudomanifolds.
Triangulable, compact, connected,
homology manifolds...
- Hackensack, NJ, 2016. arXiv:math/0105047.
Francesco Polizzi. "Example of a
triangulable topological manifold which does not
admit a PL
structure (answer on Mathoverflow)"...
-
unique up to
common subdivision. In
dimension 4, not all
manifolds are
triangulable. For
higher dimensions,
general existence of
triangulations is unknown...
