Prove simply connected space is semi locally connected space
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In mathematics, locally simple connected space is a topological space that admits a basis of simply connected sets.....
Every locally simple connected space is also locally path connected or locally connected.....
Whereas , a strictly weaker condition is that of being semi locally coonected space ...Both locally simply connected space and simply connected space are semi locally connected space but converse is not true.....
Here is answer ....
In mathematics, locally simple connected space is a topological space that admits a basis of simply connected sets.....
Every locally simple connected space is also locally path connected or locally connected.....
Whereas , a strictly weaker condition is that of being semi locally coonected space ...Both locally simply connected space and simply connected space are semi locally connected space but converse is not true.....
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