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  2. Concrete category - Wikipedia

    en.wikipedia.org/wiki/Concrete_category

    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".

  3. Free object - Wikipedia

    en.wikipedia.org/wiki/Free_object

    A linear function u : E 1 → E 2 between vector spaces is entirely determined by its values on a basis of the vector space E 1. 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 ...

  4. List of building materials - Wikipedia

    en.wikipedia.org/wiki/List_of_building_materials

    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.

  5. List of types of functions - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_functions

    As an algebraic theory, one of the advantages of category theory is to enable one to prove many general results with a minimum of assumptions. Many common notions from mathematics (e.g. surjective, injective, free object, basis, finite representation, isomorphism) are definable purely in category theoretic terms (cf. monomorphism, epimorphism).

  6. Category:Concrete - Wikipedia

    en.wikipedia.org/wiki/Category:Concrete

    Pages in category "Concrete" The following 200 pages are in this category, out of approximately 221 total. This list may not reflect recent changes.

  7. Category of sets - Wikipedia

    en.wikipedia.org/wiki/Category_of_sets

    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.

  8. Today’s NYT ‘Strands’ Hints, Spangram and Answers ... - AOL

    www.aol.com/today-nyt-strands-hints-spangram...

    We'll cover exactly how to play Strands, hints for today's spangram and all of the answers for Strands #317 on Tuesday, January 14. Related: 16 Games Like Wordle To Give You Your Word Game Fix ...

  9. Types of concrete - Wikipedia

    en.wikipedia.org/wiki/Types_of_concrete

    Typically, a batch of concrete can be made by using 1 part Portland cement, 2 parts dry sand, 3 parts dry stone, 1/2 part water. The parts are in terms of weight – not volume. For example, 1-cubic-foot (0.028 m 3 ) of concrete would be made using 22 lb (10.0 kg) cement, 10 lb (4.5 kg) water, 41 lb (19 kg) dry sand, 70 lb (32 kg) dry stone (1/ ...