Several lecture notes in Slovak:
- The text available on website of the course. This text covers the topic taught in the course 2-MAT-211 General Topology; the subject 2-MPG-116 deals only with a subset of these topics.
- There are also lecture notes for 2-MAT-211 which were prepared by the previous lecturer.
- The text P. Chalmovianský: Topológia a funkcionálna analýza which was intended for the subject 2-MPG-105 Topology and Functional Analysis. The parts devoted to general topology are relevant for this course.
- S. Willard: General Topology - this book is a suitable introduction into general topology. If we include the problems after each chapter, it contains wealth of material. (I have a paper copy, at the moment it is lent to one student. It should be available in the library.)
- R. Engelking: General Topology - this book can be considered an encyclopedy of general topology. It probably is not ideal for the first contact with the subject, but it might be suitable if you want to find some specific result and its proof or relevant references.
- Schaum's Outline of Theory and Problems of General Topology - this book is definitely at a lover level than the ones mentioned above. But perhaps it might be useful too - it contains plenty of solved problems and contains relatively detailed proofs.
- Pete L. Clark: General Topology - lecture notes available online, in my opinion a very nice text.
- Michael Müger: Topology for the working mathematician - a rather long text (a book in preparation). It is available online.
- The book Steen, Seebach: Counterexamples in Topology can be viewed as a collection of useful counterexamples. There is also the online database $\pi$-base. ("Counterexamples in ..." is quite frequent name for mathematical text. For example, there is a well known book Gelbaum, Olmsted: Counterexamples in Analysis.) The book should be available in the library. I can lend a paper copy if somebody's interested
- Dan Ma's Topology Blog is probably worth mentioning too. It contains plenty of topics from general topology.