Category theory in geography?

• Autorzy: Arlinghaus S.L. , Kerski J.
• Języki publikacji: EN

Abstrakty

EN

Słowa kluczowe

EN

category theory; geography; mathematics; GIS system; commutative diagram

• Wydawca: -
• Czasopismo: Quaestiones Geographicae
• Rocznik: 2015
• Tom: 34
• Numer: 4
• Opis fizyczny: p.61-68,fig.,ref.

Twórcy

autor

Arlinghaus S.L.

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

autor

Kerski J.

• Esri, University of Denver, Denver, USA

Bibliografia

• Albrecht J.H., 1999. Universal GIS operations for environmental modeling. http:// www.ncgia.ucsb.edu/conf/ SANTA_FE_CD-ROM/ sf_papers/jochen_albrecht/ jochen.santafe.html.
• Arlinghaus S., 2001. Buffers, bisectors, and base maps. Solstice: An Electronic Journal of Geography and Mathematics XII(2). http://www-personal.umich.edu/ ~copyrght/ image/ solstice/ win01/sarhaus/
• Arlinghaus S., Kerski J., 2013. Spatial mathematics: Theory and practice through mapping. CRC Press / Taylor & Francis, Boca Raton.
• Baez J.C., 2006. Quantum quandaries: A category-theoretic perspective. In: French S., Rickles D., Saatsi J. (eds), Structural foundations of quantum gravity. Oxford University Press: 240–265. http:// math.ucr.edu/ home/ baez/ quantum/ node1.html.
• Baez J.C., 2014. Azimuth. Category theory for better spreadsheets. http:// johncarlosbaez.wordpress.com/ 2014/02/05/ category-theory-for-better-spreadsheets/
• Barr M., Wells C., 1998. Category theory for computing science. http:// www.math.mcgill.ca/ triples/ Barr-Wells-ctcs.pdf.
• Blass A., 1984. The interaction between category theory and set theory. Contemporary Mathematics 30: 5–29.
• Brassel K.E., Reif D., 1979. A procedure to generate Thiessen polygons. Geographical Analysis 11(3): 289–303.
• Coxeter H.S.M., 1961, Introduction to geometry. MacMillan, New York.
• Easterbrook S., 1999. Category theory for beginners. University of Toronto, Department of Computer Science. http:// www.cs.utexas.edu/ users/ ham/ richards/ FP%20papers/cat101.pdf.
• The Economist, May 15, 2003. http://www.economist.com/node/1788311
• Eilenberg S., Mac Lane S., 1945. General theory of natural equivalences. http:// www.ams.org/ journals/ tran/ 1945-058-00/S0002–9947–1945-0013131–6/S0002–9947–1945-0013131–6.pdf
• Kopec R.J., 1963. An alternative method for the construction of Thiessen polygons. Professional Geographer 15(5): 24–26.
• Lightfoot C., 2003. Cartography for fun and profit. http:// ex-parrot.com/ ~chris/ wwwitter/ 20030506.html.
• Mac Lane S., 1971. Category theory for the working mathematician. Springer-Verlag, New York.
• Mark D.M., Smith B., 2003. Geographic categories: An ontological investigation. http://www.ncgia.buffalo.edu/ontology/
• Qi F., Zhu A-X., Harrower M., Burt J.E., 2006. Fuzzy soil mapping based on prototype category theory. Geoderma 136, 774–787. http:// www.lreis.ac.cn/ sc/ faculty/ zhu_axing-DGPM-netpage/ doc/new/ p_Fuzzy%20soil% 20mapping% 20based% 20on% 20prototype%20category%20theory-Qi06.pdf.
• Rhynsburger D., 1973. Analytic delineation of Thiessen polygons. Geographical Analysis 5: 133–144.
• The n-Category Café. March 3, 2013. Spivak on category theory. http://golem.ph.utexas.edu/category/2013/03/spivak_on_category_theory.html
• Thiessen A.H., Alter J.C., 1911. Climatological data for July, 1911: District No. 10, Great Basin. Monthly Weather Review, July: 1082–1089.
• US Census Bureau, June 10, 2014. Story maps illustrate metro area and county population change. http:// www.census.gov/ dataviz/ visualizations/ maps/ ?eml=gd&utm_medium=email&utm_source=govdelivery
• Voronoi G., 1908. Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Journal für die Reine und Angewandte Mathematik 133: 97–178.
• Wolfram MathWorld, 2014. Five Lemma. http:// mathworld.wolfram.com/ FiveLemma.html

Identyfikatory

DOI

10.1515/quageo-2015-0036