Category of profinite crossed modules and some adjoint pairs of covariant functors
Other Title(s)
فصيلة الموديولات المتصالبة المنتهية إسقاطيا و بعض الأزواج المترافقة للمقرنات التغايرية
Dissertant
al-Sbahi, Shayma Abd al-Razzaq Abd Allah
Thesis advisor
Comitee Members
al-Khafaji, Munir A.
Hashim, Amal M.
Abd Allah, Habib Karim
University
University of Basrah
Faculty
College of Education for Pure Sciences
Department
Department of Mathematics
University Country
Iraq
Degree
Master
Degree Date
2013
English Abstract
In this thesis, we introduce and study some adjoint pairs of covariant functors between the category of profinite crossed modules and some related categories.
The first adjoint pair of covariant functors consists of the forgetful functor from the category of profinite crossed modules to the category of profinite transformation groups and the left adjoint functor from the category of profinite transformation groups to the category of profinite crossed modules, where the later one explains how to construct a profinite crossed module from a profinite transformation group.
The second adjoint pair of covariant functors consists of the forgetful functor from the category of free profinite crossed modules to the category of continuous maps (from profinite spaces into profinite groups) and the left adjoint functor from the category of continuous maps to the category of free profinite crossed modules, where the later one explains how to construct a free profinite crossed module on a continuous map from a profinite space into a profinite group.
Finally, we study the coproduct in the category of profinite crossed modules
Main Subjects
No. of Pages
95
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Introduction.
Chapter One : Categories and functors.
Chapter Two : Some adjoint pairs of functors.
References.
American Psychological Association (APA)
al-Sbahi, Shayma Abd al-Razzaq Abd Allah. (2013). Category of profinite crossed modules and some adjoint pairs of covariant functors. (Master's theses Theses and Dissertations Master). University of Basrah, Iraq
https://search.emarefa.net/detail/BIM-744468
Modern Language Association (MLA)
al-Sbahi, Shayma Abd al-Razzaq Abd Allah. Category of profinite crossed modules and some adjoint pairs of covariant functors. (Master's theses Theses and Dissertations Master). University of Basrah. (2013).
https://search.emarefa.net/detail/BIM-744468
American Medical Association (AMA)
al-Sbahi, Shayma Abd al-Razzaq Abd Allah. (2013). Category of profinite crossed modules and some adjoint pairs of covariant functors. (Master's theses Theses and Dissertations Master). University of Basrah, Iraq
https://search.emarefa.net/detail/BIM-744468
Language
English
Data Type
Arab Theses
Record ID
BIM-744468
