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Topic: Proper morphism

Related Topics

Normal morphism

zero morphism

Flat morphism

identity morphisms

Proper morphism

Finite morphism

finiteness condition on a morphism of schemes

Affine morphism

universal morphisms

Projective morphism

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	Glossary of scheme theory -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-18)
		A projective morphism is proper; but the converse is not in general true.
		A deep property of proper morphisms is the existence of a Stein factorization, namely the existence of an intermediate scheme such that a morphism can be expressed as one with connected fibres, followed by a finite morphism.
		A separated morphism is a morphism f such that the (additional info and facts about fiber product) fiber product of Y with itself along f has its (An oblique line of squares of the same color on a checkerboard) diagonal as a closed subscheme — in other words, the diagonal map is a closed immersion.
	www.absoluteastronomy.com /encyclopedia/g/gl/glossary_of_scheme_theory.htm (1082 words)

	Theory
		Causal theory of names The causal theory of proper names is the view that the meaning of a proper name is simply the ind...
		Dual (category theory) In mathematics, the dual of a category C is the category formed by reversing all the morphisms of...
		Kernel (category theory) In morphism f : X → Y is the "most general" morphism k : K → X which, when composed w...
	www.brainyencyclopedia.com /topics/theory.html (6925 words)

	ipedia.com: Limit (category theory) Article (Site not responding. Last check: 2007-10-18)
		Limits and colimits have strong relationships to the categorial concepts of universal morphisms and adjoint functors.
		A kernel is just a special case of an equalizer where one of the morphisms is a zero morphism.
		For example one may talk about an "equalizer of two morphisms" instead of calling this limit an "equalizer of a functor that maps the only two non-trivial morphisms in J to certain values".
	www.ipedia.com /limit__category_theory_.html (1861 words)

	Encyclopedia: Byzantine empire (Site not responding. Last check: 2007-10-18)
		Citizenship is membership in a political community (originally a city but now usually a state), and carries with it rights to political participation; a person having such membership is a citizen.
		The Mediterranean Sea is an intercontinental sea positioned between Europe to the north, Africa to the south and Asia to the east, covering an approximate area of 2.
		Crisis of the Third Century (also known as the Military Anarchy or the Imperial Crisis) is a commonly applied name for the crumbling and near collapse of the Roman Empire between 235 and 284 caused by the three simultaneous crises of external invasion, internal civil war and economic collapse.
	www.nationmaster.com /encyclopedia/Byzantine-empire (10344 words)

	Encyclopedia article on Topological space [EncycloZine] (Site not responding. Last check: 2007-10-18)
		The category of topological spaces, Top, with topological spaces as objects and continuous functions as morphisms is one of the fundamental categories in mathematics.
		The attempt to classify the objects of this category by invariants has motivated and generated entire areas of research, such as homotopy theory, homology theory, and K-theory, to name just a few.
		Non-empty ultra-connected compact spaces have a largest proper open subset called a monolith.
	encyclozine.com /Topological_space (2350 words)

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