- homeomorphism. A
space that
admits such a
homeomorphism is
called a
triangulable space.
Triangulations can also be used to
define a
piecewise linear structure...
- (Br****elet,
Seade & Suwa 2009).
Another generalization that use only
compact triangulable space and
continuous mappings with
finitely many
fixed points is Lefschetz-Hopf...
- 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...
- {\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...
- a now re****ed
conjecture asking whether any two
triangulations of a
triangulable space have
subdivisions that are
combinatorially equivalent, i.e. the...
-
geometric topology is the
conjecture that any two
triangulations of a
triangulable space have a
common refinement, a
single triangulation that is a subdivision...
-
Topological manifolds of
dimension d ≤ 3 {\displaystyle d\leq 3} are
always triangulable, but not
necessarily for d > 3 {\displaystyle d>3} .
Differentiable manifolds...
-
unique up to
common subdivision. In
dimension 4, not all
manifolds are
triangulable. For
higher dimensions,
general existence of
triangulations is unknown...
- ) Thom
spaces of
vector bundles over
triangulable compact manifolds are
examples of pseudomanifolds.
Triangulable, compact, connected,
homology manifolds...
- 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...
