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user505651
user505651

Theorem 2.6.6 in “USCO and Quasicontinuous mappings”, vol. 81, Berlin, Boston: De Gruyter, 2021, by L.Hola, D.Holy and W.Moors says (more-or-less):

If $f:H\times X \to G$ is a separately continuous mapping, $H$ is a Cech-complete topological group, $X$ is a q$q$-space, $G$ is a topological group, and for each $x \in X$, $h \mapsto f(h, x)$ is a group homomorphism, then $f$ is jointly continuous on $H\times X$.

But perhaps this is too general for your purposes.

Theorem 2.6.6 in “USCO and Quasicontinuous mappings”, vol. 81, Berlin, Boston: De Gruyter, 2021, by L.Hola, D.Holy and W.Moors says (more-or-less):

If $f:H\times X \to G$ is a separately continuous mapping, $H$ is a Cech-complete topological group, $X$ is a q-space, $G$ is a topological group, and for each $x \in X$, $h \mapsto f(h, x)$ is a group homomorphism, then $f$ is jointly continuous on $H\times X$.

But perhaps this is too general for your purposes.

Theorem 2.6.6 in “USCO and Quasicontinuous mappings”, vol. 81, Berlin, Boston: De Gruyter, 2021, by L.Hola, D.Holy and W.Moors says (more-or-less):

If $f:H\times X \to G$ is a separately continuous mapping, $H$ is a Cech-complete topological group, $X$ is a $q$-space, $G$ is a topological group, and for each $x \in X$, $h \mapsto f(h, x)$ is a group homomorphism, then $f$ is jointly continuous on $H\times X$.

But perhaps this is too general for your purposes.

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Michael Albanese
Michael Albanese
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Theorem 2.6.6 in “USCO and Quasicontinuous mappings”, vol. 81, Berlin, Boston: De Gruyter, 2021, by L.Hola, D.Holy and W.Moors says (more-or-less):

If f:HxX->G$f:H\times X \to G$ is a separately continuous mapping, H$H$ is a Cech-complete topological group, X$X$ is a q-space, G$G$ is a topological group, and for each x in X, h -> f(h$x \in X$,x) $h \mapsto f(h, x)$ is a group homomorphism, then f$f$ is jointly continuous on HxX$H\times X$.

But perhaps this is too general for your purposes.

Theorem 2.6.6 in “USCO and Quasicontinuous mappings”, vol. 81, Berlin, Boston: De Gruyter, 2021, by L.Hola, D.Holy and W.Moors says (more-or-less):

If f:HxX->G is a separately continuous mapping, H is a Cech-complete topological group, X is a q-space, G is a topological group, and for each x in X, h -> f(h,x) is a group homomorphism, then f is jointly continuous on HxX.

But perhaps this is too general for your purposes.

Theorem 2.6.6 in “USCO and Quasicontinuous mappings”, vol. 81, Berlin, Boston: De Gruyter, 2021, by L.Hola, D.Holy and W.Moors says (more-or-less):

If $f:H\times X \to G$ is a separately continuous mapping, $H$ is a Cech-complete topological group, $X$ is a q-space, $G$ is a topological group, and for each $x \in X$, $h \mapsto f(h, x)$ is a group homomorphism, then $f$ is jointly continuous on $H\times X$.

But perhaps this is too general for your purposes.

Source Link
user505651
user505651

Theorem 2.6.6 in “USCO and Quasicontinuous mappings”, vol. 81, Berlin, Boston: De Gruyter, 2021, by L.Hola, D.Holy and W.Moors says (more-or-less):

If f:HxX->G is a separately continuous mapping, H is a Cech-complete topological group, X is a q-space, G is a topological group, and for each x in X, h -> f(h,x) is a group homomorphism, then f is jointly continuous on HxX.

But perhaps this is too general for your purposes.