A Course in Point Set Topology (Undergraduate Texts in - download pdf or read online

By John B. Conway

This textbook in element set topology is aimed toward an upper-undergraduate viewers. Its light speed may be priceless to scholars who're nonetheless studying to write down proofs. Prerequisites comprise calculus and a minimum of one semester of study, the place the coed has been thoroughly uncovered to the guidelines of uncomplicated set thought similar to subsets, unions, intersections, and capabilities, in addition to convergence and different topological notions within the genuine line. Appendices are integrated to bridge the space among this new fabric and fabric present in an research path. 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 strategy of the e-book to begin with the actual and paintings towards the extra basic. bankruptcy 2 defines and develops summary topological areas, with metric areas because the resource of suggestion, and with a spotlight on Hausdorff spaces. The ultimate bankruptcy concentrates on non-stop real-valued services, culminating in a improvement of paracompact spaces.

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A Course in Point Set Topology (Undergraduate Texts in Mathematics) by John B. Conway

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