The operations simulate a behavior very near to cartographic simplification. I will discuss the properties and their use and value for simplification demands. I will relate the morphological scale space with Timpf's container concept, and close with some aspects of further research. In my thesis I consider the formalization of models of geographic space. Formalization is the representation of formal models by means of formal language.
Formal models are algebraic representations of conceptual models.
Conceptual models are build by humans during a peocess of conceptualization. Formal models have a finite structure but their domains may be infinite and continuous. Representations of formal language are finite and discrete. To achieve representations that con be proessed on a computer effectively. This can be achived by applying different paradigms of formalization.