Topology of groups
Doctor of Philosophy
The present paper is self-contained and can be read without previous knowledge of either group theory or topology, except for some alterations in the approach to elementary topology and some minor omissions elsewhere. The first three chapters of Pontrajagin’s treatises are faithfully covered. No attempt is made to avoid "small theorems" that are not necessary for development on later pages. The author hopes that the inclusion of a very detailed table of contents will facilitate the reading of passages in which references to other paragraphs occur. Paragraphs whose serial numbers stand in brackets contain definitions, the others, theorems or examples. Occasionally this rule is violated to avoid pedantic splitting of the text.