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Introduction to Topology

A gentle introduction to formal topology through calculus.
18 Dec 2013 to 28 Jan 2014

This lecture series is a gentle introduction to the formal concepts of Topology. Starting from very applied concepts such as graphs, distances and limits of sequences, the concepts of Topology are gently created. The series ends with the formal definition of a point-set Topology.

Lecturer: Udayan Kanade.

Venue: Noumenon Multiphysics.

List of lectures:

18 Dec 2013	The space of functions
19 Dec 2013	Limit of a sequence; metric space
20 Dec 2013	Cauchy sequence
23 Dec 2013	Completion is idempotent
24 Dec 2013	Completion is idempotent
26 Dec 2013	Completion is idempotent
27 Dec 2013	Topology as equivalence class of metrics
2 Jan 2014	Dense sets; boundaries
3 Jan 2014	Open and closed sets
6 Jan 2014	Unions and intersections of open sets
7 Jan 2014	Closure
8 Jan 2014	Strictly receding open sets
9 Jan 2014	Axioms of a sequential topology
10 Jan 2014	Cardinal numbers
13 Jan 2014	Schröder-Bernstein theorem
17 Jan 2014	Surprisingly equal cardinalities
21 Jan 2014	The importance of open sets
22 Jan 2014	Uniqueness of limits
24 Jan 2014	The Hausdorff axiom, first countability
28 Jan 2014	Point set topology

This lecture series occurred in the past. If you wish to hold a similar lecture series at your venue, please send an email to training@noumenonmp.com.

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