-
giving cobordism) of a manifold. Two
manifolds of the same
dimension are
cobordant if
their disjoint union is the
boundary of a
compact manifold one dimension...
- (M_{2})} if M 1 {\displaystyle M_{1}} and M 2 {\displaystyle M_{2}} are
cobordant. In
other words, Φ {\displaystyle \Phi } is a ring
homomorphism R → C...
- Hsiang, Wu Chung; Stong,
Richard (1996). "A
decomposition theorem for h-
cobordant smooth simply-connected
compact 4-manifolds".
Inventiones Mathematicae...
- M****ey (M****ey 1960) went on to
prove that
every n-dimensional
manifold is
cobordant to a
manifold that
immerses in S 2 n − a ( n ) {\displaystyle S^{2n-a(n)}}...
- with the cobordism, and when
removed the two
spaces become trivially h-
cobordant and smooth. This
shows that in four dimensions,
although the
theorem does...
-
considering two n {\displaystyle n} -manifolds M , M ′ {\displaystyle M,M'} are
cobordant if
there is an ( n + 1 ) {\displaystyle (n+1)} -manifold with boundary...
- simply-connected
topological four-manifolds with
equivalent intersection forms are h-
cobordant. However, if the
intersection form is odd
there are non-homeomorphic 4-manifolds...
-
cobordism – it
requires two
submanifolds to be not just
abstractly cobordant, but "
cobordant in N".
Slice knot Habegger, Nathan; Masbaum,
Gregor (2000), "The...
-
bordism questions: two
manifolds are (respectively
oriented or unoriented)
cobordant if and only if
their characteristic numbers are equal. Characteristic...
- The Hopf link is
cobordant to the unlink....
