title: Topics in Category Theory creator: Miller, Robert Patrick contributor: Lau, Yiu Wa contributor: Hagan, Melvin R. publisher: North Texas State University date: 1974-08 language: English description: The purpose of this paper is to examine some basic topics in category theory. A category consists of a class of mathematical objects along with a morphism class having an associative composition. The paper is divided into two chapters. Chapter I deals with intrinsic properties of categories. Various "sub-objects" and properties of morphisms are defined and examples are given. Chapter II deals with morphisms between categories called functors and the natural transformations between functors. Special types of functors are defined and examples are given. subject: categories in mathematics subject: functor theory subject: category theory subject: Categories (Mathematics) subject: Functor theory rights: Public rights: Miller, Robert Patrick rights: Copyright rights: Copyright is held by the author, unless otherwise noted. All rights type: Thesis or Dissertation format: v, 79 leaves: ill. format: Text identifier: local-cont-no: 1002773679-Miller identifier: call-no: 379 N81 no. 4906 identifier: untcat: b1074214 identifier: oclc: 1449596 identifier: https://digital.library.unt.edu/ark:/67531/metadc663720/ identifier: ark: ark:/67531/metadc663720