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

By John B. Conway

This textbook in aspect set topology is aimed toward an upper-undergraduate viewers. Its mild speed can be necessary to scholars who're nonetheless studying to put in writing proofs. Prerequisites comprise calculus and a minimum of one semester of research, the place the scholar has been correctly uncovered to the information of uncomplicated set conception reminiscent of 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 path. Metric areas are one of many extra common topological areas utilized in different parts and are as a result brought within the first bankruptcy and emphasised in the course of the textual content. This additionally conforms to the technique of the booklet 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 concept, 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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