Metric and Topological Spaces

Small print The syllabus for the course is defined by the Faculty Board Schedules (which are minimal for lecturing and maximal for examining). What is presented here contains some results which it would not, in my opinion, be fair to set as book-work although they could well appear as problems. In addition, I have included a small amount of material which appears in other 1B courses. I should very much appreciate being told of any corrections or possible improvements and might even part with a small reward to the first finder of particular errors. These notes are written in LTEX2ε and should be available in tex, ps, pdf and dvi format from my home page http://www.dpmms.cam.ac.uk/ ̃twk/ I can send some notes on the exercises in Sections 15 and 16 to supervisors by e-mail.