Source: wikibot/complex-oriented-cohomology-theory
= Complex-oriented cohomology theory
{wiki=Complex-oriented_cohomology_theory}
Complex-oriented cohomology theories are a class of cohomology theories in algebraic topology that are designed to systematically generalize the notion of complex vector bundles and complex-oriented cohomology in spaces. At their core, these theories provide a way to study the topology of spaces using complex vector bundles and cohomological methods.