{"product_id":"homology-of-locally-semialgebraic-spaces-von-hans-delfs","title":"Homology of Locally Semialgebraic Spaces","description":"Locally semialgebraic spaces serve as an appropriate\nframework for studying the topological properties of\nvarieties and semialgebraic sets over a real  closed field.\nThis book contributes to the fundamental theory               of\nsemialgebraic topology and falls into two main parts.\nThe first dealswith sheaves and their cohomology on spaces\nwhich locally look like a       constructible subset of a real\nspectrum. Topics like families of support,   homotopy, acyclic\nsheaves, base-change theorems and cohomological           dimension\nare considered.\nIn the second part a homology theory for      locally complete\nlocally semialgebraic spaces over a real closed field      is\ndeveloped, the semialgebraic analogue of                                 classical\nBore-Moore-homology. Topics include fundamental classes           of\nmanifolds and varieties, Poincare duality, extensions of the\nbase    field and a comparison with the classical theory.\nApplying semialgebraic    Borel-Moore-homology, a semialgebraic\n(\"topological\") approach to           intersection theory on varieties\nover an algebraically closed field of      characteristic zero is\ngiven. The book is addressed to researchers and      advanced\nstudents in real algebraic geometry and related areas.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540546153\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540546153","offer_id":39437075578973,"sku":"9783540546153","price":26.74,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/405bb5e9-fc15-4c74-8b98-638d204dfc88.jpg?v=1772258655","url":"https:\/\/shop.autorenwelt.de\/products\/homology-of-locally-semialgebraic-spaces-von-hans-delfs","provider":"Autorenwelt Shop","version":"1.0","type":"link"}