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

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.