Problem: Given the question: Information: - In mathematics, specifically in category theory, the category of small categories, denoted by Cat, is the category whose objects are all small categories and whose morphisms are functors between categories. Cat may actually be regarded as a 2-category with natural transformations serving as 2-morphisms. - Category theory formalizes mathematical structure and its concepts in terms of a collection of "objects" and of "arrows" (also called morphisms). A category has two basic properties: the ability to compose the arrows associatively and the existence of an identity arrow for each object. The language of category theory has been used to formalize concepts of other high-level abstractions such as sets, rings, and groups. - In the mathematical theory of categories , a sketch is a category D , together with a set of limit cones and a set of colimit cones . A model of the sketch in a category C is a functor M : D \ rightarrow C that takes each specified cone to a limit cone in C and each specified cocone to a colimit cocone in C. Morphisms of models are natural transformations . Sketches are a general way of specifying structures on the objects of a category , forming a category - theoretic analog to the logical concept of a theory and its models . They allow multisorted models and models in any category . Sketches were invented in 1968 by Charles Ehresmann , using a different but equivalent definition . There are still other definitions in the research literature . - Mathematics (from Greek "mathma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. - In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector spaces). The word "homomorphism" comes from the ancient Greek language: " (homos)" meaning "same" and " (morphe)" meaning "form" or "shape". - In mathematics, a functor is a type of mapping between categories arising in category theory. Functors can be thought of as homomorphisms between categories. In the category of small categories, functors can be thought of more generally as morphisms. Given the paragraphs above, decide what entity has the relation 'facet of' with 'category theory'.
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The answer is:
sketch

Please answer this: Information: - The Great Lakes (also called the Laurentian Great Lakes, or the Great Lakes of North America) are a series of interconnected freshwater lakes located primarily in the upper mid-east region of North America, on the CanadaUnited States border, which connect to the Atlantic Ocean through the Saint Lawrence River. Consisting of Lakes Superior, Michigan, Huron (or MichiganHuron), Erie, and Ontario, they form the largest group of freshwater lakes on Earth, containing 21% of the world's surface fresh water by volume. The total surface is , and the total volume (measured at the low water datum) is . Due to their sea-like characteristics (rolling waves, sustained winds, strong currents, great depths, and distant horizons) the five Great Lakes have also long been referred to as "inland seas". Lake Superior is the second largest lake in the world by area, and Lake Michigan is the largest lake that is entirely within one country. The southern half of the Great Lakes is bordered by the Great Lakes Megalopolis. - Michigan is a state in the Great Lakes and Midwestern regions of the United States. The name Michigan is the French form of the Ojibwa word "mishigamaa", meaning "large water" or "large lake". Michigan is the tenth most populous of the 50 United States, with the 11th most extensive total area (the largest state by total area east of the Mississippi River). Its capital is Lansing, and its largest city is Detroit. - The Mississippi River is the chief river of the largest drainage system on the North American continent. Flowing entirely in the United States (although its drainage basin reaches into Canada), it rises in northern Minnesota and meanders slowly southwards for to the Mississippi River Delta at the Gulf of Mexico. With its many tributaries, the Mississippi's watershed drains all or parts of 31 U.S. states and 2 Canadian provinces between the Rocky and Appalachian Mountains. The Mississippi ranks as the fourth longest and fifteenth largest river in the world by discharge. The river either borders or passes through the states of Minnesota, Wisconsin, Iowa, Illinois, Missouri, Kentucky, Tennessee, Arkansas, Mississippi, and Louisiana. - Detroit is the most populous city in the U.S. state of Michigan, the fourth-largest city in the Midwest and the largest city on the United StatesCanada border. It is the seat of Wayne County, the most populous county in the state. - Ford Auditorium was an auditorium in Detroit , Michigan that was built in 1955 and opened in 1956 . Located on the Detroit riverfront , it served as a home to the Detroit Symphony Orchestra ( DSO ) for more than 33 years and was an integral part of the city 's Civic Center . With approval from Ford and the city , the building was demolished in July 2011 as part of the city 's waterfront redesign plans . - The Detroit Symphony Orchestra (DSO) is an American orchestra based in Detroit, Michigan. Its main performance center is Orchestra Hall at the Max M. Fisher Music Center in Detroit's Midtown neighborhood. The DSO performs throughout the metro Detroit area in both paid neighborhood series concerts and free community concerts. The DSO can also be seen and heard live on the web at dso.org/live. Given the paragraphs above, decide what entity has the relation 'located in the administrative territorial entity' with 'ontario'.
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Answer:
ford auditorium