{"product_id":"twisted-morse-complexes-morse-homology-and-cohomology-with-local-coefficients-9783031716157","title":"Twisted Morse Complexes: Morse Homology and Cohomology with Local Coefficients","description":"\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Paperback \/ softback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 158 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 02 November 2024\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Springer International Publishing AG\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eIt contains a complete proof of the Twisted Morse Homology Theorem, which says that on a closed finite-dimensional smooth manifold the homology of the Morse–Smale–Witten chain complex with coefficients in a bundle of abelian groups G is isomorphic to the singular homology of the manifold with coefficients in G.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 235 x 155 (mm)\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9783031716157\u003cbr\u003e \u003cstrong\u003eEdition number\u003c\/strong\u003e: 2024 ed.\u003c\/p\u003e","brand":"Augustin Banyaga,David Hurtubise,Peter Spaeth","offers":[{"title":"Paperback \/ softback","offer_id":47458788868346,"sku":"9783031716157","price":45.8,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/files\/1751059482900_book.jpg?v=1751098419","url":"https:\/\/shulphink.com\/products\/twisted-morse-complexes-morse-homology-and-cohomology-with-local-coefficients-9783031716157","provider":"Shulph Ink","version":"1.0","type":"link"}