Semilocal connectedness 
			of product spaces and <mml:math alttext="$s$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>s</mml:mi></mml:math>-continuity of maps

Ewert, Janina

doi:https://doi.org/10.1155/S0161171200002337

International Journal of Mathematics and Mathematical Sciences

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Volume 24 | Article ID 857601 | https://doi.org/10.1155/S0161171200002337

Semilocal connectedness of product spaces and s-continuity of maps

Janina Ewert¹

Received17 Oct 1997

Revised04 Nov 1998

Abstract

We consider the problem of the transfer of semilocal connectedness from factors to the product space and vice versa. Some sufficient conditions are given under which the product of semilocally connected spaces is semilocally connected. Obtained theorems are not invertible, suitable examples are given.

Copyright

Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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