Download A Course in Point Set Topology (Undergraduate Texts in by John B. Conway PDF

By John B. Conway

This textbook in aspect set topology is geared toward an upper-undergraduate viewers. Its mild speed can be invaluable to scholars who're nonetheless studying to jot down proofs. Prerequisites contain calculus and not less than one semester of study, the place the coed has been appropriately uncovered to the tips of easy set conception corresponding to subsets, unions, intersections, and capabilities, in addition to convergence and different topological notions within the genuine line. Appendices are incorporated to bridge the distance among this new fabric and fabric present in an research direction. Metric areas are one of many extra typical topological areas utilized in different components and are for that reason brought within the first bankruptcy and emphasised during the textual content. This additionally conforms to the process of the ebook first of all the actual and paintings towards the extra common. bankruptcy 2 defines and develops summary topological areas, with metric areas because the resource of idea, and with a spotlight on Hausdorff spaces. The ultimate bankruptcy concentrates on non-stop real-valued features, culminating in a improvement of paracompact spaces.

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