Relevant mappings

Visualizing ontology mappings to help ontology engineers identify relevant ontologies for their reuse

The importance of ontologies in biomedicine is increasing in the areas such as the standardization of terminology, the verification of data consistency, and the integration of heterogeneous biomedical databases. New ontologies are being built and added to repositories such as BioPortal. These ontologies represent a large network of biomedical concepts where a single ontology connects a group of...

Deriving Concept Mappings through Instance Mappings

Ontology matching is a promising step towards the solution to the interoperability problem of the Semantic Web. Instance-based methods have the advantage of focusing on the most active parts of the ontologies and reflect concept semantics as they are actually being used. Previous instance-based mapping techniques were only applicable to cases where a substantial set of instances shared by both ...

Generating Continuous Mappings with Lipschitz Mappings

If X is a metric space then CX and LX denote the semigroups of continuous and Lipschitz mappings, respectively, from X to itself. The relative rank of CX modulo LX is the least cardinality of any set U \LX where U generates CX . For a large class of separable metric spaces X we prove that the relative rank of CX modulo LX is uncountable. When X is the Baire space NN, this rank is א1. A large pa...

Totally Real Mappings and Independent Mappings

The optimal dimensions N are determined so that each smooth manifold of dimension n admits a totally real immersion or an independent map to C . Detailed results comparing these two optimal dimensions, as well as some related results, are presented for four-manifolds.

Perspective Mappings