<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Is mathematical category theory a unifying tool for geography? Here we look at a few basic category theoretical ideas and interpret them in geographic example. We also offer links to indicate how category theory has been used as such in other disciplines. Finally, we announce the direction of our research program on this topic as a way to facilitate the learning, and maintenance of learning, of GIS software – and in the spirit of <italic>Quaestiones Geographicae</italic>, invite debate, comment, and contribution to this program in spatial mathematics.</p></abstract>

Is mathematical category theory a unifying tool for geography? Here we look at a few basic category theoretical ideas and interpret them in geographic example. We also offer links to indicate how category theory has been used as such in other disciplines. Finally, we announce the direction of our research program on this topic as a way to facilitate the learning, and maintenance of learning, of GIS software – and in the spirit of Quaestiones Geographicae, invite debate, comment, and contribution to this program in spatial mathematics.

Category Theory In Geography?

Institute for Research on Labor, Employment, and the Economy, University of Michigan, Ann Arbor, USA

Quaestiones Geographicae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Category Theory In Geography?"}

Is mathematical category theory a unifying tool for geography? Here we look at a few basic category theoretical ideas and interpret them in geographic example....

Category Theory In Geography?

Published Online: Dec 30, 2015

Page range: 61 - 68

Received: Feb 02, 2015

DOI: https://doi.org/10.1515/quageo-2015-0036

Keywords
category theory, mathematics, geography, Geographic Information Systems, web mapping, commutative diagrams

© 2015 Faculty of Geographical and Geological Sciences, Adam Mickiewicz University

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Category Theory In Geography?

Published Online: Dec 30, 2015

Page range: 61 - 68

Received: Feb 02, 2015

DOI: https://doi.org/10.1515/quageo-2015-0036

Keywordscategory theory, mathematics, geography, Geographic Information Systems, web mapping, commutative diagrams

© 2015 Faculty of Geographical and Geological Sciences, Adam Mickiewicz University

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
category theory, mathematics, geography, Geographic Information Systems, web mapping, commutative diagrams