Are divisible locally compact abelian groups injective as objects of the quasi-abelian category of locally compact abelian groups ? At the very least, if $D$ is a divisible locally compact abelian group then will the functor $Hom_{cont}(-, D): LocCompAb^{op} \to Ab$ preserve monomorphisms ?
2026-03-27 17:06:24.1774631184
Injectivity of divisible locally compact abelian groups
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