{"product_id":"9783032356710","title":"The Compact-Open Topology on C(X)","description":"\u003ch3\u003eDevelopments in Mathematics\u003c\/h3\u003e\u003ch1\u003eThe Compact-Open Topology on C(X)\u003c\/h1\u003e\u003ch3\u003eSubiman Kundu | Varun Jindal\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Topology\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003eThis monograph offers a comprehensive study on the classical Compact-Open topology on the space C(X) of all real valued functions on a Tychonoff space X. It makes C(X) a locally convex space. The space C(X) equipped with the compact-open topology k is denoted by C_k(X). In this monograph, the authors have adopted an analytical approach, by considering C_k(X) as a locally convex space. Consequently, the authors give easy and shorter proofs of several results about C_k(X). The authors also provide a short historic perspective on compact-open topology.\u003c\/p\u003e\n\u003cp\u003eThis monograph touches almost all aspects of the compact-open topology. In particular, it includes a detailed study of the topological properties of compact-open topology on C(X). A complete chapter is devoted to study compact and dense subsets of the space C_k(X). Since C_k(X) is a locally convex space, in Chapter 8, the authors provide a detailed study of the dual of this locally convex space. In the final chapter, the authors present several functional analytic properties of this locally convex space.\u003c\/p\u003e\n\u003cp\u003eThis monograph has a wide appeal to mathematicians in various fields. Chapters 2, 4 and 5 are of interest to topologists, while Chapters 8 and 9 are of interest to functional analysts. Chapters 3, 6 and 7, meanwhile, are of interest to both topologists and functional analysts.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e\n\u003cp\u003eSubiman Kundu is a Former Professor of the Department of Mathematics, Indian Institute of Technology Delhi, India.\u003c\/p\u003e\r\n\u003cp\u003eVarun Jindal is an Assistant Professor at the Department of Mathematics Malaviya National Institute of Technology in Jaipur, India.\u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e27 September 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Nature Switzerland\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783032356710\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":51458377580684,"sku":"9783032356710","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783032356710.jpg?v=1784153563","url":"https:\/\/lateknightbooks.com\/products\/9783032356710","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}