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* Every subspace of a completely regular or Tychonoff space has the same property.
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Every and subspace
* Every topological space X is a dense subspace of a compact space having at most one point more than X, by the Alexandroff one-point compactification.
Every normed vector space V sits as a dense subspace inside a Banach space ; this Banach space is essentially uniquely defined by V and is called the completion of V.
* Every closed subgroup of a profinite group is itself profinite ; the topology arising from the profiniteness agrees with the subspace topology.
Every subgroup of a topological group is itself a topological group when given the subspace topology.
Every nontrivial proper rotation in 3 dimensions fixes a unique 1-dimensional linear subspace of R < sup > 3 </ sup > which is called the axis of rotation ( this is Euler's rotation theorem ).
* Every open subspace of a Baire space is a Baire space.
Every closed subspace of a reflexive space is reflexive.
* Subspaces: Every subspace topology of the cofinite topology is also a cofinite topology.
* Every Polish space is homeomorphic to a G < sub > δ </ sub > subspace of the Hilbert cube, and every G < sub > δ </ sub > subspace of the Hilbert cube is Polish.
* Every closed subspace of X is spectral.
* Every subspace of a second-countable space is second-countable.
* Every direct summand of M is pure in M. Consequently, every subspace of a vector space over a field is pure.
Every vector space V with seminorm p ( v ) induces a normed space V / W, called the quotient space, where W is the subspace of V consisting of all vectors v in V with p ( v )
Every and completely
Every now and then an atom is replaced by a completely different atom ( and this could be as few as one in a million atoms ).
Every completely multiplicative function is a homomorphism of monoids and is completely determined by its restriction to the prime numbers.
Every family large enough to completely consume a young lamb or wild goat was required to offer one for sacrifice at the Jewish Temple on the afternoon of the 14th day of Nisan ,() and eat it that night, which was the 15th of Nisan ().
* Every metric space is Tychonoff ; every pseudometric space is completely regular.
* Every locally compact regular space is completely regular, and therefore every locally compact Hausdorff space is Tychonoff.
* Every topological group is completely regular.
* Every normal regular space is completely regular, and every normal Hausdorff space is Tychonoff.
Every Ethernet packet must be completely transmitted before another can begin.
Every completely additive function is additive, but not vice versa.
Every isolated unstable black hole decays rapidly to a stable black hole ; and ( modulo quantum fluctuations ) stable black holes can be completely described ( in a Cartesian coordinate system ) at any moment in time by these eleven numbers:
Every Ophrys orchid has its own pollinator insect and is completely dependent on this species for its survival.
He has gained a reputation of being cursed due to several notorious strokes of bad luck: Every team he was assigned to would be completely annihilated on their third mission together, save for Sanders himself.
Every hour or so, a 10 – 20 minute ' word war ' is held in which the entire room falls almost completely silent with concentration, save for the sound of keystrokes.
Every three years the University completely exchanges the laptops for newer models.
Every day, day-by-day, without fail she would rub herself against the walls, till her clothes became thinner, and thinner till she completely wore it out.
* Every atom in the ring must have a p orbital, which overlaps with p orbitals on either side ( completely conjugated ).
Every stairwell had been completely destroyed, save for one near the bow.
Every time he tried attacking major WWF stars such as The Rock or Kurt Angle, he would run into a wall, statue, milk truck, or just completely miss and trip over his boots.
Every variation of the Alpha-Bits line is now made completely with whole grains and three grams of fiber per serving.
Every other character has been completely redesigned for this " expansion ".
Every plane B that is completely orthogonalTwo flat subspaces S < sub > 1 </ sub > and S < sub > 2 </ sub > of dimensions M and N of a Euclidean space S of at least M + N dimensions are called completely orthogonal if every line in S1 is orthogonal to every line in S2.
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 regular ordinal is the initial ordinal of a cardinal.
* Every regular language is context-free because it can be described by a context-free grammar.
* Every Borel set E is outer regular:
* Every open set E is inner regular:
Every regular space is locally regular, but the converse is not true.
Every such space is regular.
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 regular map of varieties is continuous in the Zariski topology.
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 three months ( after regular cleaning ) the wheels should be coated with petroleum jelly .”
Every US President since Roosevelt has delivered a regular address.
Every polyhedron, regular and irregular, convex and concave, has a dihedral angle at every edge.
Every extremal monomorphism is regular.
Every extremal epimorphism is regular.
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