What type of data supports behaviors like topologies and versioning?

The type of data that supports behaviors like topologies and versioning is ArcGIS-managed data. This data is explicitly designed and maintained within the ArcGIS environment, enabling complex GIS functionalities. For instance, topologies allow for the enforcement of spatial rules that maintain the integrity of spatial relationships among features, while versioning facilitates the simultaneous editing of datasets by multiple users and helps manage changes over time.

ArcGIS-managed data is stored in a geodatabase, which provides robust capabilities for organizing, managing, and leveraging spatial data aligned with the requirements of GIS applications. This includes the ability to create, manage, and analyze topologies and to maintain historical versions of data.

User-managed, public, and temporary data types do not inherently support these advanced geospatial behaviors to the same extent. User-managed data refers to datasets that are stored and managed outside of ArcGIS's control, limiting the capacity to utilize built-in behaviors. Public data may be accessible to many users but lacks the structure for supporting advanced GIS functionalities like versioning or topologies. Temporary data, as the name suggests, is typically short-lived and does not have persistent structures to maintain complex relationships effectively.