The New Encyclopædia Britannica: L-ZEncyclopædia Britannica, 1992 - 32 pages |
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Page 297
L-Z. Examples of functors Forgetful functors Surjective homo- morphisms Hurewicz homo- morphism . The Cartesian product ... functor F always sends isomorphisms to isomorphisms , a very crucial property . Otherwise expressed , if Ff is not ...
L-Z. Examples of functors Forgetful functors Surjective homo- morphisms Hurewicz homo- morphism . The Cartesian product ... functor F always sends isomorphisms to isomorphisms , a very crucial property . Otherwise expressed , if Ff is not ...
Page 298
... functors from V to V , in which V is the category of vector spaces over the field K and linear transformations . One functor is the identity functor . The other functor is the double dual functor ** : V → V that associates with every ...
... functors from V to V , in which V is the category of vector spaces over the field K and linear transformations . One functor is the identity functor . The other functor is the double dual functor ** : V → V that associates with every ...
Page 301
... functor F , given by the tensor prod- uct ( see 375 ) in which A is a л - module , is an additive functor to the category of Abelian groups . The complex С ( л ) is then a л - free resolution of Z , the additive group of integers , so ...
... functor F , given by the tensor prod- uct ( see 375 ) in which A is a л - module , is an additive functor to the category of Abelian groups . The complex С ( л ) is then a л - free resolution of Z , the additive group of integers , so ...
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20th century Abelian group addition aesthetic Afghanistan agriculture Albania alcohol algae algebra animals basin called central centre ceremonial climate coast common complex numbers Congo contains Côte d'Ivoire countries crops cultivation culture dance defined desert developed drinking drug East eastern economic Egypt elements equations European example farm feet field Figure finite fish forest functor Igbo important Indians integers irrigation isomorphism Kabul Kenya Lake Lake Chad Lake Victoria land language lattice Lie algebra linear major mapping miles modern mountains Niger Nigeria Nile northern operations patterns percent period Plains plants Plateau polynomial population rainfall real numbers region ring ritual River Sahara savanna social soil South Africa southern Africa species subgroup Sudan Tanzania theory tion traditional tribes tropical United valley vector space vegetation village West Africa western x₁ Yoruba Zaire Zambia Zimbabwe