{"product_id":"a-riemann-roch-theorem-for-compact-spaces-von-laurent-motais-de-narbonne","title":"A Riemann- Roch theorem for compact spaces","description":"\u003cp\u003eFurther to Grothendieck¿s works that proof that we have a Riemann-Roch theorem for certain morphisms of algebraic varieties and of Hirzebruch and Atiyah for certain morphisms of differentiable manifolds, we will proof that we have a Riemann-Roch theorem for continuous applications between compact spaces verifying certain conditions, in the context of topological K-theory of compact spaces.The Riemann-Roch theorem that we have in mind involves the K functor defined by K (X) :=-1K°(X)¿ K (X), where K°(X) denotes the Grothendieck group of complex fiber bundles over X,-1 where K (X) := K°(S(X)), where S(X) denotes the reduced suspension of X and the H* functor k defined by par H*(X) := ¿ H (X ;Q) .These two functors will apply to the category where the objects are compact spaces and the morphisms are applications that we will call, using Lang and Fulton terminology, regular.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9786202531931\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9786202531931","offer_id":39460163518557,"sku":"9786202531931","price":39.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/c443a69b-07a0-4190-bfd5-02f2c6422e8b.jpg?v=1773474280","url":"https:\/\/shop.autorenwelt.de\/en\/products\/a-riemann-roch-theorem-for-compact-spaces-von-laurent-motais-de-narbonne","provider":"Autorenwelt Shop","version":"1.0","type":"link"}