Lecture Notes

A complete set of notes for this course in a single pdf file can be downloaded here. The individual chapters that I will be posting below thoughout the semester may differ a bit from this set, since I may incorporate in them some minor revisions (corrections of typos, possibly some additional exercises etc.).

1. Some set theory	complete notes	blank notes
2. Metric spaces	complete notes	blank notes
3. Open sets	complete notes	blank notes
4. Basis, subbasis, subspace	complete notes	blank notes
5. Closed sets	complete notes	blank notes
6. Continuous functions	complete notes	blank notes
7. Connectedness	complete notes	blank notes
8. Path connectedness	complete notes	blank notes
9. Separation axioms	complete notes	blank notes
10. Urysohn lemma	complete notes	blank notes
11. Tietze extension theorem	complete notes	blank notes
12. Urysohn metrization theorem	complete notes	blank notes
13. Metrization of manifolds	complete notes	blank notes
14. Compact spaces	complete notes	blank notes
15. Heine-Borel theorem	complete notes	blank notes
16. Compact metric spaces	complete notes	blank notes
17. Tychonoff theorem	complete notes	blank notes
18. Compactification	complete notes	blank notes
19. Quotient spaces	complete notes	blank notes
20. Simplicial complexes	complete notes	blank notes
21. Embeddings of manifolds	complete notes	blank notes
22. Mapping spaces	complete notes	blank notes