Grant: Discovery Grants Program - Individual
Saint Mary's University
$10,000.00
Convexity and tilings
EF 2011-12
Résumé
A hyperspace over a metric space is a structure obtained by taking a certain family of sets, and defining distances between them so that these form the points of a new metric space. In this project, I will be studying the Chebyshev sets in such spaces - the sets (families of sets) such that every point (set) has a unique nearest neighbour, using the Hausdorff metric.
I will also be studying non-edge-to-edge tilings of the sphere with congruent triangles, and some problems in category theory that hinge on the ways in which rectangular cells fit together. These tiling patterns form a ""syntax"" for double categories.
Programme
Discovery Grants Program - Individual
Bénéficiaire
Emplacement
Nova Scotia, Canada
Type de bénéficiaire
Academia
Type
Grant
Source
NSERC's Awards Data
Tel que publié
Application id
46671-2011
Name nom
Dawson, Robert
Department département
Mathematics and Computing Science
Organization id
85
Institution établissement
Saint Mary's University
Province en
Nova Scotia
Province fr
Nouvelle-Écosse
Country en
CANADA
Country fr
CANADA
Fiscal year exercice financier
2011
Competition year année de concours
2011
Award amount
10000
Program id
RGPIN
Program nane en
Discovery Grants Program - Individual
Program name fr
Programme de subventions à la découverte - individuelles
Group en
Discovery grants programs
Group fr
Programmes de subventions à la découverte
Committee code
1508
Committee name en
Mathematics and Statistics
Committee name fr
Mathématiques et statistique
Area of application code
1205
Area of application group en
Advancement of knowledge
Area of application group fr
Avancement des connaissances
Area of application en
Mathematical sciences
Area of application fr
Sciences mathématiques
Research subject code
2900
Research subject group en
Pure mathematics
Research subject group fr
Mathématiques pures
Research subject en
Pure mathematics
Research subject fr
Mathématiques pures
Partie
1
Nb partie
5
Application title
Convexity and tilings
Keyword
NSERC
Application summary
A hyperspace over a metric space is a structure obtained by taking a certain family of sets, and defining distances between them so that these form the points of a new metric space. In this project, I will be studying the Chebyshev sets in such spaces - the sets (families of sets) such that every point (set) has a unique nearest neighbour, using the Hausdorff metric.
I will also be studying non-edge-to-edge tilings of the sphere with congruent triangles, and some problems in category theory that hinge on the ways in which rectangular cells fit together. These tiling patterns form a ""syntax"" for double categories.
