In mathematics, particularly algebraic topology, cohomotopy sets are particular contravariant functors from the category of pointed topological spaces...

Mapping cone (topology) Wedge sum Smash product Adjunction space Cohomotopy Cohomotopy group Brown's representability theorem Eilenberg–MacLane space Fibre...

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...

description of the stable cohomotopy theory of the classifying space of a finite group. It is the analogue for cohomotopy of the work of Michael Atiyah...

property – Mathematical property Homology and cohomology Homotopy group and Cohomotopy group Knot invariant – Function of a knot that takes the same value for...

\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...

Topological spaces Uniformities Manifolds Atlases Charts Cohomology groups Cohomotopy groups Homology groups Homotopy groups Knots Unknot Trefoil knot Holes...

functions. A notable use of homotopy is the definition of homotopy groups and cohomotopy groups, important invariants in algebraic topology. In practice, there...

complexes. Some examples of generalized cohomology theories are: Stable cohomotopy groups π S ∗ ( X ) . {\displaystyle \pi _{S}^{*}(X).} The corresponding...

theory) cohomotopy group For a based space X, the set of homotopy classes [ X , S n ] {\displaystyle [X,S^{n}]} is called the n-th cohomotopy group of...

coefficient ring of an extraordinary cohomology theory, called stable cohomotopy theory. The unstable homotopy groups (for n < k + 2) are more erratic;...

absolute neighborhood retracts (ANRs), and the cohomotopy groups, later called Borsuk–Spanier cohomotopy groups; he also founded shape theory; Borsuk's...