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Mathematical Sciences Colloquium by A K Desai
Friday, Oct 21, 2016
2 p.m. - 3 p.m. Location: FN 2.102

A K Desai

Department Of Mathematics

Gujarat University, Ahmedabad, India

Topological Characterizations of Some Known Spaces and Their Applications

In this expository talk we shall start with the result due to Sierpinski which characterizes topologically the topological space Q of rational numbers. We shall then list important topological properties of the spaces P (the space of irrationals), the space K (Cantor Set), the space L = Knfpg and some of them will be highlighted so that background to appreciate results due to Alexandroff-Urysohn and Brouwer is framed. Progressively we get to present a table which is due to Mill and Woods as the application of these results that X x Y for X, Y    {Q,P,K,L,Q x K,Q x P} happens to be one of these spaces. Our own results, here and there, may also be part of the discussion.

Sponsored by the Department of Mathematical Sciences

 

Contact Info:
Viswanath Ramakrishna, 972-883-6873
Questions? Email me.

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