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A concrete category is a pair (C,U) such that . C is a category, and; U : C → Set (the category of sets and functions) is a faithful functor.; The functor U is to be thought of as a forgetful functor, which assigns to every object of C its "underlying set", and to every morphism in C its "underlying function".
This category has the following 15 subcategories, out of 15 total. A. Concrete admixtures (18 P) Artworks in concrete (1 C) B. ... Pages in category "Concrete"
The following definition translates this to any category. A concrete category is a category that is equipped with a faithful functor to Set, the category of sets. Let C be a concrete category with a faithful functor U : C → Set. Let X be a set (that is, an object in Set), which will be the basis of the free object to be defined.
The 16 Divisions of construction, as defined by the Construction Specifications Institute (CSI)'s MasterFormat, is the most widely used standard for organizing specifications and other written information for commercial and institutional building projects in the U.S. and Canada.
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Set is the prototype of a concrete category; other categories are concrete if they are "built on" Set in some well-defined way. Every two-element set serves as a subobject classifier in Set. The power object of a set A is given by its power set, and the exponential object of the sets A and B is given by the set of all functions from A to B.
This is a list of building materials.. Many types of building materials are used in the construction industry to create buildings and structures.These categories of materials and products are used by architects and construction project managers to specify the materials and methods used for building projects.
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