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Topological Groups : Quotient and Open Maps

Let be p:G to G/N a quotient map.Is it open?
Let be f:G to H an open map. Is it quotient map?
Here G and H are topological groups, and N is an subgroup.

Solution Preview

An open onto map is quotient, regardless of group structure.

For p, we ...

Solution Summary

Topological Groups and Quotient and Open Maps are investigated.