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Every regular map of varieties is continuous in the Zariski topology.

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## Some Related Sentences

Every and regular

__Every__

__regular__language

**is**context-free, every context-free language, not containing

**the**empty string,

**is**context-sensitive and every context-sensitive language

**is**recursive and every recursive language

**is**recursively enumerable

**.**

*

__Every__locally compact__regular__space**is**completely__regular__, and therefore every locally compact Hausdorff space**is**Tychonoff**.**
Nordau saw

**in**Jewish Emancipation**the**result**of**' a__regular__equation:__Every__man**is**born with certain rights ;**the**Jews are human beings, consequently**the**Jews are born to own**the**rights**of**man**.**__Every__such

__regular__cover

**is**a principal G-bundle, where G = Aut ( p )

**is**considered as a discrete topological group

**.**

__Every__universal cover p: D → X

**is**

__regular__, with deck transformation group being isomorphic to

**the**fundamental group

**.**

__Every__fourth year when

**the**games were also held,

**the**festival was known as

**the**" Great Panathenaia ," and was 3 or 4 days longer than

**the**

__regular__festival

**.**

Every and map

*

__Every__**continuous**__map__from a compact space to a Hausdorff space**is**closed and proper ( i**.**e.,**the**pre-image**of**a compact set**is**compact**.**__Every__

**continuous**

__map__f: X → Y induces an algebra homomorphism C ( f ): C ( Y ) → C ( X ) by

**the**rule C ( f )( φ ) = φ o f for every φ

**in**C ( Y ).

__Every__vector v

**in**determines a linear

__map__from R to taking 1 to v, which can be thought

**of**as a Lie algebra homomorphism

**.**

__Every__smooth ( or differentiable )

__map__φ: M → N between smooth ( or differentiable ) manifolds induces natural linear maps between

**the**corresponding tangent spaces:

__Every__

__map__that

**is**injective,

**continuous**and either open or closed

**is**an embedding ; however there are also embeddings which are neither open nor closed

**.**

__Every__inner automorphism

**is**indeed an automorphism

**of**

**the**group G, i

**.**e

**.**it

**is**a bijective

__map__from G to G and it

**is**a homomorphism ; meaning ( xy )< sup > a </ sup >

__Every__algebraic curve C

**of**genus g ≥ 1

**is**associated with an abelian variety J

**of**dimension g, by means

**of**an analytic

__map__

**of**C into J

**.**

__Every__covering

__map__

**is**a semicovering, but semicoverings satisfy

**the**" 2 out

**of**3 " rule: given a composition

**of**maps

**of**spaces, if two

**of**

**the**maps are semicoverings, then so also

**is**

**the**third

**.**

*

__Every__bundle**of**Lie algebras over a smooth manifold defines a Lie algebroid where**the**Lie bracket**is**defined pointwise and**the**anchor__map__**is**equal to zero**.**
* The embedding theorem for Stein manifolds states

**the**following:__Every__Stein manifold**of**complex dimension can be embedded into by a biholomorphic proper__map__**.**__Every__issue

**of**our periodical will therefore include one or more

__map__supplements, and their design will guarantee a

**continuous**and easily accessible supplement

**in**easy-to-manage form with special regard for those who own Stielers Hand-Atlas, Berghaus ’ s Physical Atlas, and other

__map__publications

**of**

**the**( Perthes ) Institute

**.**

__Every__summer,

**the**town prepares for

**the**one-week summer festival, " Finnsnes i Fest ", aiming to put Finnsnes on

**the**

__map__

**.**

__Every__element x

**of**G gives rise to a tensor-preserving self-conjugate natural transformation via multiplication by x on each representation, and hence one has a

__map__

**.**

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