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A topos is a category that behaves very much like the category of sets and possesses a good notion of localization. Related to topos are: sheaves, presheaves, descent, stacks, localization,...

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Property of pushouts in the category of unital $C^{\ast}$-algebras

Unfortunately, the assertion is, in general, not true even if we just have a single (injective) unital $*$-homomorphism $f_1\colon A\to A_1$ and another (non-injective) unital $*$-homomorphism $g\colo …
Alcides Buss's user avatar