{"product_id":"algebraic-general-topology-book-1-victor-lvovich-porton-9781659630732","title":"Algebraic General Topology. Book 1: Basics: Edition 2","description":"\u003cp\u003eThere are many examples in the entire text. A student with an advanced calculation background and basic knowledge could easily study this book. The reader will learn from this book more advanced topics in mathematics.\u003c\/p\u003e\u003cp\u003eThis text consists of a series of simple to intermediate topology topics. However, all the competences needed for advanced mathematical studies are extensively discussed and evaluated. Algebraic General Topology is perfect for teachers in topology or undergraduate and graduate studies.\u003c\/p\u003e\u003cp\u003eIn this work the writer introduces and study in details the concepts of funcoid which generalize proximity spaces and reloids which generalize uniform spaces, and generalizations thereof. The concept of funcoid is generalized concept of proximity; the concept of reloid is cleared from superfluous details (generalized) concept of uniformity.\u003c\/p\u003e\u003cp\u003eAlso funcoids and reloids can be considered as a generalization of (oriented) graphs, this provides us with a common generalization of calculus and discrete mathematics. The concept of continuity is defined by an algebraic formula (instead of old messy epsilon-delta notation) for arbitrary morphisms (including funcoids and reloids) of a partially ordered category. In one formula continuity, proximity continuity, and uniform continuity are generalized.\u003c\/p\u003e\u003cp\u003eAlso the author defines connectedness for funcoids and reloids. Then he considers generalizations of funcoids: pointfree funcoids and generalization of pointfree funcoids: staroids and multifuncoids. Also I define several kinds of products of funcoids and other morphisms. Before going to topology, this book studies property of co-brouwerian lattices and filters as well. \u003c\/p\u003e\u003cp\u003eThis is a great resource which is a must have for you. However, it is not a highly standard book and you will therefore need to back it up with other topology materials. Scroll up and add it to cart now!\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Victor Lvovich Porton\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1659630738\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781659630732\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Independently Published\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 01\/12\/2020\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 482\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.44lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 11.00h x 8.50w x 0.97d","brand":"Victor Lvovich Porton","offers":[{"title":"Paperback","offer_id":47202080882943,"sku":"9781659630732","price":60.5,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_f11759bf-ceba-44c5-b081-37611c68cc67.jpg?v=1756819588","url":"https:\/\/www.whiterainbookhouse.com\/products\/algebraic-general-topology-book-1-victor-lvovich-porton-9781659630732","provider":"WR Book House","version":"1.0","type":"link"}