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 email@example.com.
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