I would like a "good" book (not really introductory, not too advanced with good theory and exercises) on metric topology covering the following topics:
Metric spaces, open/closed sets, sequences, compactness, completeness, continuous functions and homeomorphisms, connectedness, product spaces, Baire category theorem, completeness of C[0, 1] and Lp spaces, Arzela-Ascoli theorem.
It may not be a full book but parts of books or lecture notes are also most welcome.