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Conservative functor
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<p>In <a href="/facts/Category_theory/6zS3DXPa">category theory</a>, a branch of <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, a conservative functor is a <a href="/facts/Functor/l2u3rIBE">functor</a> F : C → D {\displaystyle F:C\to D} such that for any <a href="/facts/Morphism/Kdpuyz3S">morphism</a> <i>f</i> in <i>C</i>, <i>F</i>(<i>f</i>) being an <a href="/facts/Isomorphism/pj8KgkxU">isomorphism</a> implies that <i>f</i> is an isomorphism. </p>