Royal Road To Topology A Convergence Of Filters is popular PDF and ePub book, written by Szymon Dolecki in 2024-01-03, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Royal Road To Topology A Convergence Of Filters can be Read Online from any device for your convenience.
Royal Road To Topology A Convergence Of Filters Book PDF Summary
Topological spaces are a special case of convergence spaces. This textbook introduces topology within a broader context of convergence theory. The title alludes to advantages of the present approach, which is more gratifying than many traditional ones: you travel more comfortably through mathematical landscapes and you see more.The book is addressed both to those who wish to learn topology and to those who, being already knowledgeable about topology, are curious to review it from a different perspective, which goes well beyond the traditional knowledge.Usual topics of classic courses of set-theoretic topology are treated at an early stage of the book — from a viewpoint of convergence of filters, but in a rather elementary way. Later on, most of these facts reappear as simple consequences of more advanced aspects of convergence theory.The mentioned virtues of the approach stem from the fact that the class of convergences is closed under several natural, essential operations, under which the class of topologies is not! Accordingly, convergence theory complements topology like the field of complex numbers algebraically completes the field of real numbers.Convergence theory is intuitive and operational because of appropriate level of its abstraction, general enough to grasp the underlying laws, but not too much in order not to lose intuitive appeal.
Detail Book of Royal Road To Topology A Convergence Of Filters PDF
- Author : Szymon Dolecki
- Release : 03 January 2024
- Publisher : World Scientific
- ISBN : 9789811232121
- Genre : Mathematics
- Total Page : 733 pages
- Language : English
- PDF File Size : 11,8 Mb
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