Lecture Notes
=============

A complete set of notes for this course in a single pdf file can be
downloaded `here  <_static/mth427_notes.pdf>`__. 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.).


.. list-table::
   :widths: 30 15 12
   :header-rows: 0

   * - **1.** Some set theory
     - `complete notes <_static/mth427_notes_1.pdf>`__
     - `blank notes <_static/mth427_blanks_1.pdf>`__

   * - **2.** Metric spaces
     - `complete notes <_static/mth427_notes_2.pdf>`__
     - `blank notes <_static/mth427_blanks_2.pdf>`__

   * - **3.** Open sets
     - `complete notes <_static/mth427_notes_3.pdf>`__
     - `blank notes <_static/mth427_blanks_3.pdf>`__

   * - **4.** Basis, subbasis, subspace
     - `complete notes <_static/mth427_notes_4.pdf>`__
     - `blank notes <_static/mth427_blanks_4.pdf>`__

   * - **5.** Closed sets
     - `complete notes <_static/mth427_notes_5.pdf>`__
     - `blank notes <_static/mth427_blanks_5.pdf>`__

   * - **6.** Continuous functions
     - `complete notes <_static/mth427_notes_6.pdf>`__
     - `blank notes <_static/mth427_blanks_6.pdf>`__

   * - **7.** Connectedness
     - `complete notes <_static/mth427_notes_7.pdf>`__
     - `blank notes <_static/mth427_blanks_7.pdf>`__

   * - **8.** Path connectedness
     - `complete notes <_static/mth427_notes_8.pdf>`__
     - `blank notes <_static/mth427_blanks_8.pdf>`__

   * - **9.** Separation axioms
     - `complete notes <_static/mth427_notes_9.pdf>`__
     - `blank notes <_static/mth427_blanks_9.pdf>`__

   * - **10.** Urysohn lemma
     - `complete notes <_static/mth427_notes_10.pdf>`__
     - `blank notes <_static/mth427_blanks_10.pdf>`__

   * - **11.** Tietze extension theorem
     - `complete notes <_static/mth427_notes_11.pdf>`__
     - `blank notes <_static/mth427_blanks_11.pdf>`__

   * - **12.** Urysohn metrization theorem
     - `complete notes <_static/mth427_notes_12.pdf>`__
     - `blank notes <_static/mth427_blanks_12.pdf>`__

   * - **13.** Metrization of manifolds
     - `complete notes <_static/mth427_notes_13.pdf>`__
     - `blank notes <_static/mth427_blanks_13.pdf>`__

   * - **14.** Compact spaces
     - `complete notes <_static/mth427_notes_14.pdf>`__
     - `blank notes <_static/mth427_blanks_14.pdf>`__

   * - **15.** Heine-Borel theorem
     - `complete notes <_static/mth427_notes_15.pdf>`__
     - `blank notes <_static/mth427_blanks_15.pdf>`__

   * - **16.** Compact metric spaces
     - `complete notes <_static/mth427_notes_16.pdf>`__
     - `blank notes <_static/mth427_blanks_16.pdf>`__

   * - **17.** Tychonoff theorem
     - `complete notes <_static/mth427_notes_17.pdf>`__
     - `blank notes <_static/mth427_blanks_17.pdf>`__

   * - **18.** Compactification
     - `complete notes <_static/mth427_notes_18.pdf>`__
     - `blank notes <_static/mth427_blanks_18.pdf>`__

   * - **19.** Quotient spaces
     - `complete notes <_static/mth427_notes_19.pdf>`__
     - `blank notes <_static/mth427_blanks_19.pdf>`__

   * - **20.** Simplicial complexes
     - `complete notes <_static/mth427_notes_20.pdf>`__
     - `blank notes <_static/mth427_blanks_20.pdf>`__

   * - **21.** Embeddings of manifolds
     - `complete notes <_static/mth427_notes_21.pdf>`__
     - `blank notes <_static/mth427_blanks_21.pdf>`__

   * - **22.** Mapping spaces
     - `complete notes <_static/mth427_notes_22.pdf>`__
     - `blank notes <_static/mth427_blanks_22.pdf>`__