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