{"title":"K. Ponto","description":"\u003cp\u003eBooks by K. Ponto offer deep insights into advanced scientific concepts, particularly focusing on mathematical and physical sciences. Readers can expect clear, rigorous explorations of topics such as algebraic topology, crafted to engage both students and professionals seeking to deepen their understanding.\u003c\/p\u003e\n\n\u003cp\u003eWith a precise and thoughtful approach, these works balance theoretical depth and accessibility, making complex ideas approachable without sacrificing intellectual rigour. Ideal for those passionate about science and nature, K. Ponto's works contribute meaningfully to the academic conversation.\u003c\/p\u003e","products":[{"product_id":"more-concise-algebraic-topology-by-j-p-may-9780226511788","title":"More Concise Algebraic Topology","description":"\u003cdiv class=\"book-description\"\u003e\n\u003cp\u003eWith firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that treat fundamental topics beyond a first course, and many topics now essential to the field are not treated in any textbook.\u003c\/p\u003e\n\n\u003cp\u003eJ. Peter May’s \u003ci\u003eA Concise Course in Algebraic Topology\u003c\/i\u003e addresses the standard first course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. In this sequel, \u003ci\u003eMore Concise Algebraic Topology\u003c\/i\u003e, May and his co-author, Kathleen Ponto, cover topics that are essential for algebraic topologists and others interested in algebraic topology, but that are not treated in standard texts. They focus on the localization and completion of topological spaces, model categories, and Hopf algebras.\u003c\/p\u003e\n\n\u003cp\u003eThe first half of the book sets out the basic theory of localization and completion of nilpotent spaces, using the most elementary treatment the authors know of. It makes no use of simplicial techniques or model categories, and it provides full details of other necessary preliminaries. With these topics as motivation, most of the second half of the book sets out the theory of model categories, which is the central organizing framework for homotopical algebra in general. Examples from topology and homological algebra are treated in parallel.\u003c\/p\u003e\n\n\u003cp\u003eA short last part develops the basic theory of bialgebras and Hopf algebras.\u003c\/p\u003e\n\u003c\/div\u003e","brand":"Unknown","offers":[{"title":"Default Title","offer_id":47995484668140,"sku":"9780226511788","price":154.99,"currency_code":"NZD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0705\/7784\/8556\/files\/9780226511788-more-concise-algebraic-topology.jpg?v=1784896817"}],"url":"https:\/\/bookhero.co.nz\/collections\/k-ponto.oembed","provider":"Book Hero","version":"1.0","type":"link"}