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Album: Definitions, proofs and examples

Track: Definitions, Proofs and Examples 5

Maths-dpe

Description: An easy proof by contradiction concerning sets absorbing sequences; a proof that various statements about convergence of sequences in a non-empty set are equivalent to the set having exactly one point; various examples relating to (non) sequential compactness and divergence of subsequences. Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.

Keywords: set inclusions, set equalities,sums of subsets of the real line, sum, union, difference, Cartesian products, set differences, set inclusions, bounded sets, unbounded sets, open set, continuous functions, divergent sequences, convergent sequences

Author: Dr Joel Feinstein

Category: Mathematics

Web page: http://explainingmaths.wordpress.com/definitions-proofs-and-examples/

Thumbnail: http://itunesu.nottingham.ac.uk/media/Mathematics/Proofs/images/maths-dpe.jpg

Track media file: http://itunesu.nottingham.ac.uk/media/Mathematics/Proofs/video/MAN-DPE5.mp4

Duration: 31:22

Size: 110960640

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