{"product_id":"9789401064934","title":"K-Monographs in Mathematics","description":"\u003ch1\u003eK-Monographs in Mathematics\u003c\/h1\u003e \u003ch2\u003eBaues, H-J.; Quintero, A.\u003c\/h2\u003e \u003cp\u003eCompactness in topology and finite generation in algebra are nice properties to start with. However, the study of compact spaces leads naturally to non-compact spaces and infinitely generated chain complexes; a classical example is the theory of covering spaces. In handling non-compact spaces we must take into account the infinity behaviour of such spaces. This necessitates modifying the usual topological and algebraic cate­ gories to obtain \"proper\" categories in which objects are equipped with a \"topologized infinity\" and in which morphisms are compatible with the topology at infinity. The origins of proper (topological) category theory go back to 1923, when Kere­ kjart6 [VT] established the classification of non-compact surfaces by adding to orien­ tability and genus a new invariant, consisting of a set of \"ideal points\" at infinity. Later, Freudenthal [ETR] gave a rigorous treatment of the topology of \"ideal points\" by introducing the space of \"ends\" of a non-compact space. In spite of its early ap­ pearance, proper category theory was not recognized as a distinct area of topology until the late 1960's with the work of Siebenmann [OFB], [IS], [DES] on non-compact manifolds.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2013-10-03\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9789401064934\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-94-009-0007-3\u003c\/p\u003e \u003cp\u003eDimensions: 240cm x160cm\u003c\/p\u003e \u003cp\u003ePages: 296\u003c\/p\u003e ","brand":"Springer Netherlands","offers":[{"title":"Default Title","offer_id":46541589938316,"sku":"9789401064934","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789401064934.jpg?v=1775741496","url":"https:\/\/lateknightbooks.com\/products\/9789401064934","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}