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Topic: Concrete category


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 Concrete category -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-10-18)
The prototypical concrete category is (Click link for more info and facts about Set) Set, the category of sets and functions.
Thus, a concrete category C consists not just of C itself, but of the category C and a corresponding forgetful functor F.
The category hTop, where the objects are ((mathematics) any set of points that satisfy a set of postulates of some kind) topological spaces and the morphisms are (Click link for more info and facts about homotopy classes) homotopy classes of continuous functions, is an example of a category that is not concretizable.
www.absoluteastronomy.com /encyclopedia/C/Co/Concrete_category.htm   (352 words)

  
 Flooring - Concrete Flooring   (Site not responding. Last check: 2007-10-18)
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www.dellflooring.com /concreteflooring   (2604 words)

  
 ipedia.com: Concrete category Article   (Site not responding. Last check: 2007-10-18)
In mathematics, a concrete category is a category in which, roughly speaking, all objects are sets possibly carrying some additional structure, all morphisms are functionss between those sets, and the...
In mathematics, a concrete category is a category in which, roughly speaking, all objects are sets possibly carrying some additional structure, all morphisms are functionss between those sets, and the composition of morphisms is the composition of functions.
Are there any categories which do not allow a faithful functor into Set?
www.ipedia.com /concrete_category.html   (226 words)

  
 Pillbox, pillbox hat, pillbox pharmacy   (Site not responding. Last check: 2007-10-18)
Similar to a blockhouse, it is usually made of concrete, steel, logs,...
A pillbox is usually made of concrete, steel, or filled sandbags.
A PILLBOX exploded at an eatery across the Western Police District headquarters along United Nations Avenue, Ermita, Manila, on Tuesday, leaving four...
www.clarinetinfo.com /pillbox.html   (827 words)

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