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Some Related Sentences
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 Lipschitz
continuous map is uniformly
continuous, and hence a fortiori
continuous.
Every distinct
map projection distorts in a distinct way
.
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 constant
map is a plot
.
Every regular
map of varieties
is continuous in the Zariski topology
.
Every real m-by-n matrix yields a linear
map from R < sup > n </ sup > to R < sup > m </ 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 local homeomorphism
is a
continuous and open map.
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
.
Every Möbius transformation
is a bijective conformal
map of the Riemann sphere to itself
.

* 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 map consists of numerous textured polygons carefully positioned in relation to one another
.
Every summer
, the town prepares for the one-week summer festival
, " Finnsnes i Fest ", aiming to put Finnsnes on the
map.

*
Every map can be replaced by a cofibration via the mapping cylinder construction

*
Every local diffeomorphism
is also a local homeomorphism
and therefore
an open 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.
Every map has these two bases
, but each
map has a different pattern of fixed terrain features
.
Every and is
Every legislator from Brasstown Bald to Folkston
is going to have his every vote subjected to the closest scrutiny as a test of his political allegiances
, not his convictions
.
Every detail in his interpretation has been beautifully thought out
, and of these I would especially cite the delicious laendler touch the pianist brings to the fifth variation (
an obvious indication
that he
is playing with Viennese musicians )
, and the gossamer shading throughout
.
Every taxpayer
is well aware of the vast size of our annual defense budget
and most of our readers
also realize
that a large portion of these expenditures go for military electronics
.
Every single problem touched on thus far
is related to good marketing planning
.
Every few days
, in the early morning
, as the work progressed
, twenty men would appear to push it ahead
and to shift the plank foundation
that distributed its weight widely on the Rotunda pavement
, supported as it
is by ancient brick vaulting
.
Every dream
, and this
is true of a mental image of any type even though it may be readily interpreted into its equivalent of wakeful thought
, is a psychic phenomenon for
which no explanation
is available
.
Every man in every one of these houses
is a Night Rider
.
Every library borrower
, or at least those whose taste goes beyond the five-cent fiction rentals
, knows what it
is to hear the librarian say apologetically
, `` I'm sorry
, but we don't have
that book
.
Every community
, if it
is alive has a spirit
, and that spirit
is the center of its unity
and identity
.

The restricted principle "
Every partially ordered set has a maximal totally ordered subset "
is also equivalent to AC over ZF
.

**
Every infinite game in
which is a Borel subset of Baire space
is determined
.
Every natural-born citizen of a foreign state who
is also an American citizen
and every natural-born American citizen who
is a citizen of a foreign land owes a double allegiance
, one to the United States
, and one to his homeland ( in the event of
an immigrant becoming a citizen of the US ),
or to his adopted land ( in the event of
an emigrant natural born citizen of the US becoming a citizen of another nation ).
Every line of written text
is a mere reflection of references from any of a multitude of traditions
, or, as Barthes puts it
, " the text
is a tissue of quotations drawn from the innumerable centres of culture "; it
is never original
.
Every root of a polynomial equation whose coefficients
are algebraic numbers
is again algebraic
.

*
Every rectangle R
is in M
. If the rectangle has length h
and breadth k then a ( R ) =
Every year
, on the last Sunday in April
, there is an ice fishing competition in the frozen estuarine waters of the Anadyr River's mouth
.
Every lattice element of the structure
is in its proper place
, whether it
is a single atom
or a molecular grouping
.
Every and injective
Every embedding is injective and continuous.
Every injective module can be decomposed as direct sum of indecomposable
injective modules
.
Every morphism in a concrete category whose underlying function
is injective is a monomorphism
; in other words
, if morphisms
are actually functions between sets
, then any morphism
which is a one-to-one function will necessarily be a monomorphism in the categorical sense
.

*
Every module M has
an injective hull
.
Every object in a Grothendieck category has
an injective hull
.
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