Point-Set Topology by Romyar Sharifi

By Romyar Sharifi.

Online text: www.math.ucla.edu/~sharifi/notes/topology-ch03.html

Cited passages: Romyar Sharifi, Point-Set Topology, Corollary 3.1.10, Proposition 3.1.11, Definition 3.1.12 and Remark 3.1.16: maximal connected subsets and equivalence classes; Romyar Sharifi, Point-Set Topology, Definition 3.1.1 and Example 3.1.3: connectedness and discrete spaces; Romyar Sharifi, Point-Set Topology, Lemma 3.1.13 and Example 3.1.14: closed components and a component which is not open.

By Romyar Sharifi.

Online text: www.math.ucla.edu/~sharifi/notes/topology-ch02.html

Online text: www.math.ucla.edu/~sharifi/notes/topology-ch01.html

Cited passages: Definition 1.1.9: finite complement topology; Definition 1.5.5, Proposition 1.5.11 and Proposition 1.6.20: neighbourhood convergence, uniqueness and the metric formulation; Example 1.5.10 and Proposition 1.5.11: closed points, overlapping neighbourhoods, non-repeating sequences and uniqueness in Hausdorff spaces.