In mathematics, more specifically in
topology
Topology (from the Greek language, Greek words , and ) is the branch of mathematics concerned with the properties of a Mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformat ...
, the equivariant stable homotopy theory is a subfield of
equivariant topology
In mathematics, equivariant topology is the study of topological spaces that possess certain symmetries. In studying topological spaces, one often considers continuous maps f: X \to Y, and while equivariant topology also considers such maps, the ...
that studies a
spectrum
A spectrum (: spectra or spectrums) is a set of related ideas, objects, or properties whose features overlap such that they blend to form a continuum. The word ''spectrum'' was first used scientifically in optics to describe the rainbow of co ...
with
group action
In mathematics, a group action of a group G on a set S is a group homomorphism from G to some group (under function composition) of functions from S to itself. It is said that G acts on S.
Many sets of transformations form a group under ...
instead of a space with group action, as in
stable homotopy theory. The field has become more active recently because of its connection to
algebraic K-theory.
See also
*
Equivariant K-theory
*
G-spectrum (spectrum with an action of an (appropriate) group ''G'')
References
External links
Creating Equivariant Stable Homotopy Theory
Homotopy theory
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