In terms of topological relationships, what does it mean if two features 'Intersect'?

When discussing topological relationships, the term 'Intersect' specifically refers to the scenario where two features share some common space. This encompasses not only the case when they touch at their boundaries but also situations where they have overlapping areas.

In the context of spatial analysis, for two features to intersect, they must share at least one point. This can include shared interior points, which means that they overlap in a way that one feature's area partially or wholly covers some part of the other feature's area. Hence, the correct interpretation of 'Intersect' recognizes that these features do share some space, making option C the appropriate choice.

The other options highlight relationships that are not consistent with the notion of intersection in topology. Touching at boundary points might refer to a different relationship such as 'adjacency,' while having no common areas suggests that the features are entirely separate, which would contradict the idea of intersection. Therefore, the concept of intersection inherently implies a shared connection, making option C the accurate representation of what it means for two features to intersect in topological terms.