If G is a Polish group, then the category of Polish G-spaces and continuous G-mappings has a universal object. §0. Preface It is known from [2] that 0.1. Theorem (de Vries). Let G be a separable locally compact metric group. Then the category of continuous G-maps and separable complete metric G-spaces has a universal object. In other words, there is a separable complete metric space X on which ...

In 2004, the Canadian Adverse Events Study (Baker et al. 2004) determined the incidence rate of adverse events (AE) in Canada to be 7.5%. This translates to approximately 185,000 for the almost 2.5 million annual hospital admissions in Canada. The study noted "close to 70,000 of these AEs were potentially preventable". In March 2005, a "Good Catch" program was implemented in Edmonton's Capital ...

After the expansion of higher education admissions (hereafter ‘The Expansion’) beginning in 1999, the distribution of higher education opportunities has gradually become equalized between genders. Utilizing data from the Chinese General Social Survey (CGSS 2008), this study investigates ‘how the expansion of college admission induced gender equality in higher education opportunities.’ By focusi...

We construct several Spin(7) holonomy metrics which admits a G2 holonomy reduction along one isometry. The resulting G2 holonomy metrics admit a further reduction to a 6-dimensional Kahler metric, therefore realizing the pattern Spin(7) → G2 → (Kahler) proposed in [26] and which describe an M-theory/IIA superstring duality. An infinite class of such metrics are found, which are locally R3-fibra...

T year 2013 was a year of galvanizing focus on higher education diversity, with all eyes again on the U.S. Supreme Court, this time with the highly anticipated decision in Fisher v. University of Texas.1 For those who anticipated that the Court would materially reverse course from its landmark decisions in 2003 (and its unanimous affirmation of a core principle underpinning those decisions in 2...

We study the algebraization problem for principal bundles with reductive structure groups on a non-proper formal scheme. When the formal scheme can be compactified by adding a closed subset of codimension at least 3, we show that any such bundle admits an algebraization. For codimension 2 we provide a necessary and sufficient condition.

We show that any closed model category of simplicial algebras over an algebraic theory is Quillen equivalent to a proper closed model category. By “simplicial algebra” we mean any category of algebras over a simplicial algebraic theory, which is allowed to be multi-sorted. The results have applications to the construction of localization model category structures.

Following a merger of the Departments of Pathology, Clinical Biochemistry, and part of Medical Microbiology, our faculty agreed to deliver a new, unique undergraduate program "Specialist in Pathobiology" at the University of Toronto, in order to teach current concepts of mechanisms of disease to students selected from the large undergraduate science population. The emphasis was on molecular and...