Wang, Xiyuan(Faculty of Graduate Studies and Research, University of Regina, 2014-05)

We define an invariant called the “commutative differential graded algebra with lattice”
of a topological space X. The commutative differential graded algebra with lattice encodes
the information of rational homotopy ...

Hu, Yang(Faculty of Graduate Studies and Research, University of Regina, 2017-06)

We state and prove an algebraic version of the Blakers-Massey Theorem.
The Blakers-Massey Theorem is a classical result in homotopy theory that measures
the obstruction to homotopy excision. It also measures how far a ...

Krimker Fernandez, Gustavo Sergio(Faculty of Graduate Studies and Research, University of Regina, 2012-02)

The main objective of this Thesis is the construction of the fundamental modules of
the classical Lie algebras. Weyl’s Theorem shows that if L is a semisimple Lie algebra,
then any finite dimensional L−module is a direct ...

Fu, Rong(Faculty of Graduate Studies and Research, University of Regina, 2012-10)

Rough set theory offers a mathematical approach to data analysis and data
mining. It can be used to learn classification rules that define classes of a classi-
fication based on some well defined concepts. The fundamental ...

Hu, Mengjun(Faculty of Graduate Studies and Research, University of Regina, 2014-10)

Rough set theory is widely used in many areas, such as artificial intelligence, machine
learning and data mining. Lower and upper approximations are two fundamental
notions for concept analysis with rough set theory.
In ...

Chaktoura, Martin Gabriel(Faculty of Graduate Studies and Research, University of Regina, 2014-06)

The main objective of this work is to construct all the regular representations of
the complex classical groups. Since each of these groups is reductive, in the sense
that every regular module is a direct sum of irreducible ...