Relationships | GIS&T Body of Knowledge

Define various terms used to describe topological relationships, such as disjoint, overlap, within, and intersect
List the possible topological relationships between entities in space (e.g., 9-intersection) and time
Use methods that analyze topological relationships
Recognize the contributions of topology (the branch of mathematics) to the study of geographic relationships
Describe geographic phenomena in terms of their topological relationships in space and time to other phenomena

Describe particular geographic phenomena in terms of their place in mereonomic hierarchies (parts and composites)
Explain the contributions of formal mathematical methods such as graph theory to the study and application of geographic structures
Represent structural relationships in GIS data
Explain the effects of spatial or temporal scale on the perception of structure
Explain the modeling of structural relationships in standard GIS data models, such as stored topology
Identify phenomena that are best understood as networks

Explain the human tendency to simplify the world using categories
Identify specific examples of categories of entities (i.e., common nouns), properties (i.e., adjectives), space (i.e., regions), and time (i.e., eras)
Explain the role of categories in common-sense conceptual models, everyday language, and analytical procedures
Recognize and manage the potential problems associated with the use of categories (e.g., the ecological fallacy)
Construct taxonomies and dictionaries (also known as formal ontologies) to communicate systems of categories
Describe the contributions of category theory to understanding the internal structure of categories
Document the personal, social, and/or institutional meaning of categories used in GIS applications
Create or use GIS data structures to represent categories, including attribute columns, layers/themes, shapes, and legends
Use categorical information in analysis, cartography, and other GIS processes, avoiding common interpretation mistakes
Reconcile differing common-sense and official definitions of common geospatial categories of entities, attributes, space, and time

Define various terms used to describe topological relationships, such as disjoint, overlap, within, and intersect
List the possible topological relationships between entities in space (e.g., 9-intersection) and time
Use methods that analyze topological relationships
Recognize the contributions of topology (the branch of mathematics) to the study of geographic relationships
Describe geographic phenomena in terms of their topological relationships in space and time to other phenomena

Describe particular geographic phenomena in terms of their place in mereonomic hierarchies (parts and composites)
Explain the contributions of formal mathematical methods such as graph theory to the study and application of geographic structures
Represent structural relationships in GIS data
Explain the effects of spatial or temporal scale on the perception of structure
Explain the modeling of structural relationships in standard GIS data models, such as stored topology
Identify phenomena that are best understood as networks

Explain the human tendency to simplify the world using categories
Identify specific examples of categories of entities (i.e., common nouns), properties (i.e., adjectives), space (i.e., regions), and time (i.e., eras)
Explain the role of categories in common-sense conceptual models, everyday language, and analytical procedures
Recognize and manage the potential problems associated with the use of categories (e.g., the ecological fallacy)
Construct taxonomies and dictionaries (also known as formal ontologies) to communicate systems of categories
Describe the contributions of category theory to understanding the internal structure of categories
Document the personal, social, and/or institutional meaning of categories used in GIS applications
Create or use GIS data structures to represent categories, including attribute columns, layers/themes, shapes, and legends
Use categorical information in analysis, cartography, and other GIS processes, avoiding common interpretation mistakes
Reconcile differing common-sense and official definitions of common geospatial categories of entities, attributes, space, and time

Define various terms used to describe topological relationships, such as disjoint, overlap, within, and intersect
List the possible topological relationships between entities in space (e.g., 9-intersection) and time
Use methods that analyze topological relationships
Recognize the contributions of topology (the branch of mathematics) to the study of geographic relationships
Describe geographic phenomena in terms of their topological relationships in space and time to other phenomena

Describe particular geographic phenomena in terms of their place in mereonomic hierarchies (parts and composites)
Explain the contributions of formal mathematical methods such as graph theory to the study and application of geographic structures
Represent structural relationships in GIS data
Explain the effects of spatial or temporal scale on the perception of structure
Explain the modeling of structural relationships in standard GIS data models, such as stored topology
Identify phenomena that are best understood as networks

Explain the human tendency to simplify the world using categories
Identify specific examples of categories of entities (i.e., common nouns), properties (i.e., adjectives), space (i.e., regions), and time (i.e., eras)
Explain the role of categories in common-sense conceptual models, everyday language, and analytical procedures
Recognize and manage the potential problems associated with the use of categories (e.g., the ecological fallacy)
Construct taxonomies and dictionaries (also known as formal ontologies) to communicate systems of categories
Describe the contributions of category theory to understanding the internal structure of categories
Document the personal, social, and/or institutional meaning of categories used in GIS applications
Create or use GIS data structures to represent categories, including attribute columns, layers/themes, shapes, and legends
Use categorical information in analysis, cartography, and other GIS processes, avoiding common interpretation mistakes
Reconcile differing common-sense and official definitions of common geospatial categories of entities, attributes, space, and time

Define various terms used to describe topological relationships, such as disjoint, overlap, within, and intersect
List the possible topological relationships between entities in space (e.g., 9-intersection) and time
Use methods that analyze topological relationships
Recognize the contributions of topology (the branch of mathematics) to the study of geographic relationships
Describe geographic phenomena in terms of their topological relationships in space and time to other phenomena

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