Topological conjugacy
= Topological conjugacy
{title2=$H\circ f=g\circ H$}
{wiki}
= Topologically conjugate
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Two <continuous maps> are topologically conjugate if a <homeomorphism> $H$ between their <state spaces> satisfies the displayed intertwining identity. It is <conjugate maps> with a topology-preserving conjugating map. On compact <metric spaces>, pulling back a <compatible metric> through $H$ preserves every <Bowen metric>, and hence <topological entropy>.