the question is the type of algebraic object dexters represent. i’d like to believe they represent manifolds

linedexter

planedexter

spheredexter

torudexter

projectodexter

grassmanidexter

reimannidexter

etc.

i’d believe u though if u said that dexters must only be homotopically equivalent to a point or like have the same cohomology groups or wtv. balldexter. diskdexter.