Is there any way to do topology outside of geodatabase?

Topology is a collection of rules that, coupled with a set of editing tools and techniques, enables the geodatabase to more accurately model geometric relationships. ArcGIS implements topology through a set of rules that define how features may share a geographic space and a set of editing tools that work with features that share geometry in an integrated fashion. A topology is stored in a geodatabase as one or more relationships that define how the features in one or more feature classes share geometry. The features participating in a topology are still simple feature classes—rather than modifying the definition of the feature class, a topology serves as a description of how the features can be spatially related 

NO creat 

No, there is not any way to do topology outside of geodatabase in ArcMap.

No any other way to do the topology without geodatabase

Its not possible in ArcMap

nope there is no way to utilize topology outside the geodatabase.

no there is no any other way to create topology instead of geodatabase.

You need to use some other software for that, i.e Qgis. But for ArcMap you cannot apply topology outside of Geodatabase.

No i dont thinks so 

i dont thiks thate yo kante