A Study of Function Spaces through a Functor
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
www.ijsr.net | Open Access | Fully Refereed | Peer Reviewed International Journal

ISSN: 2319-7064

Research Paper | Mathematics | India | Volume 5 Issue 6, June 2016

A Study of Function Spaces through a Functor

Dr. Pravanjan Kumar Rana

Let X be a locally compact Hausdorff space and let Fn (X) = limit of the function spaces of maps of X into certain spaces of type K (, n) each of the spaces of sequences SPn, WSPn+1, WSPn+2,..., WSP n+m,... is a space of type K (, n), SPn WSPn+1 W2SPn+2... Wm SP n+m Wm+1SPn+m+1.... For any space X, we define the space Fn, m (X) = (Wm SPn+m) X topologized by the compact-open topology. The aim of this paper is i) to investigate the properties of Fn, m (X), ii) to study of the object Fn, m.

Keywords: Eilenberg-MacLane space, function spaces, -homotopy classes, contravariant functor, compact open topology

Edition: Volume 5 Issue 6, June 2016

Pages: 574 - 577

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Dr. Pravanjan Kumar Rana, "A Study of Function Spaces through a Functor", International Journal of Science and Research (IJSR), https://www.ijsr.net/search_index_results_paperid.php?id=NOV164078, Volume 5 Issue 6, June 2016, 574 - 577

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Share this Article
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