Question

Prove or provide a counterexample Let f:R→R be a function. If f is T_U−T_C continuous, then...

Prove or provide a counterexample

Let f:R→R be a function. If f is T_U−T_C continuous, then f is T_C−T_U continuous.

T_U is the usual topology and T_C is the open half-line topology

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