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

By John B. Conway

This textbook in element set topology is aimed toward an upper-undergraduate viewers. Its mild speed should be valuable to scholars who're nonetheless studying to jot down proofs. Prerequisites contain calculus and a minimum of one semester of study, the place the coed has been safely uncovered to the guidelines of uncomplicated set conception similar to subsets, unions, intersections, and features, in addition to convergence and different topological notions within the actual line. Appendices are incorporated to bridge the space among this new fabric and fabric present in an research path. Metric areas are one of many extra general topological areas utilized in different parts and are hence brought within the first bankruptcy and emphasised in the course of the textual content. This additionally conforms to the procedure 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 notion, and with a spotlight on Hausdorff spaces. The ultimate bankruptcy concentrates on non-stop real-valued features, culminating in a improvement of paracompact spaces.

Show description

Read Online or Download A Course in Point Set Topology (Undergraduate Texts in Mathematics) PDF

Best geometry & topology books

Pairs of Compact Convex Sets: Fractional Arithmetic with Convex Sets (Mathematics and Its Applications)

The publication is dedicated to the idea of pairs of compact convex units and specifically to the matter of discovering forms of minimum representants of a couple of nonempty compact convex subsets of a in the community convex vector house within the feel of the Rådström-Hörmander thought. minimum pairs of compact convex units come up clearly in several fields of arithmetic, as for example in non-smooth research, set-valued research and within the box of combinatorial convexity.

Die Keplersche Vermutung: Wie Mathematiker ein 400 Jahre altes Rätsel lösten (German Edition)

Sir Walter Raleigh wollte wissen, wie Kanonenkugeln in einem Schiff am dichtesten gestapelt werden können. Der Astronom Johannes Kepler lieferte im Jahr 1611 die Antwort: genau so, wie Gemüsehändler ihre Orangen und Tomaten aufstapeln. Noch battle dies lediglich eine Vermutung – erst 1998 gelang dem amerikanischen Mathematiker Thomas Hales mit Hilfe von Computern der mathematische Beweis.

Methods of Differential Geometry in Classical Field Theories:k-Symplectic and k-Cosymplectic Approaches

This booklet is dedicated to study of the main proper techniques to the research of classical box theories of the 1st order, say k-symplectic and k-cosymplectic geometry. This method is additionally in comparison with others like multisymplectic formalism. it is going to be very worthy for researchers operating in classical box theories and graduate scholars drawn to constructing a systematic occupation within the topic.

Berechnung Gewölbter Böden (German Edition)

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer booklet files mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen.

Extra resources for A Course in Point Set Topology (Undergraduate Texts in Mathematics)

Example text

Download PDF sample

Rated 4.33 of 5 – based on 11 votes