International Journal of Mathematics and Mathematical Sciences 
Volume 24 (2000), Issue 4, Pages 257-264
doi:10.1155/S0161171200002337

Semilocal connectedness of product spaces and s-continuity of maps

Janina Ewert

 Department of Mathematics, Pedagogical University, Arciszewskiego 22b, Słupsk 76-200, Poland
Received 17 October 1997; Revised 4 November 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.