- In mathematics,
particularly algebraic topology,
cohomotopy sets are
particular contravariant functors from the
category of
pointed topological spaces...
- \alpha } . A
practical way of
finding α {\displaystyle \alpha } is to use
cohomotopy operator h {\displaystyle h} , that is a
local inverse of δ {\displaystyle...
- This is a list of some of the
ordinary and
generalized (or extraordinary)
homology and
cohomology theories in
algebraic topology that are
defined on the...
- functions. A
notable use of
homotopy is the
definition of
homotopy groups and
cohomotopy groups,
important invariants in
algebraic topology. In practice, there...
-
Mapping cone (topology)
Wedge sum
Smash product Adjunction space Cohomotopy Cohomotopy group Brown's
representability theorem Eilenberg–MacLane
space Fibre...
-
Manifolds Atlases Charts Möbius strip,
Klein bottle Cohomology groups Cohomotopy groups Homology groups Homotopy groups Knots Unknot Trefoil knot Holes...
- The
theorem relates the
Burnside ring of a
finite group G to the
stable cohomotopy of the
classifying space BG. The
conjecture was made in the mid 1970s...
-
fundamental n-groupoid of X Π(X), the
fundamental groupoid of X πn(X), the nth
cohomotopy set of X πn, a
notation for the
scalar projection onto the n-th component...
-
absolute neighborhood retracts (ANRs), and the
cohomotopy groups,
later called Borsuk–Spanier
cohomotopy groups. He also
founded shape theory. He has constructed...
- property –
Mathematical property Homology and
cohomology Homotopy group and
Cohomotopy group Knot invariant –
Function of a knot that
takes the same
value for...
