Every night they all went to Mama and Papa Albright's, and sat on the open front porch, where they could get the breeze.

# Every open cover of A has a finite subcover.

* Countably compact: Every countable open cover has a finite subcover.

When coming to Kubla Khan, he pointed out: " instead of being content to have written finely under the influence of laudanum, recommends ' Kubla-Khan ' to his readers, not as a poem, but as ' a psychological curiosity ' ... Every lover of books, scholar or not, who knows what it is to have his quarto open against a loaf at his tea ... ought to be in possession of Mr. Coleridge's poems, if it is only for ' Christabel ', ' Kubla Khan ', and the ' Ancient Mariner '.

Every island has sand beaches, but few open onto spacious lowlands.

Every judgment contained the reasons behind the decision and the judges assenting ; if there was a dissenting judge, he was allowed to deliver his own judgment, with all judgments read in open court before the agents of the parties to the dispute.

* Every open set E is inner regular:

Every day, doors seem to open, and every day, we interact, perhaps more than ever before, with the world outside.

Every open subgroup H is also closed, since the complement of H is the open set given by the union of open sets gH for g in G

Every organization using oscilloscopes has a wide variety of calibration approaches open to them.

* Every closed nowhere dense set is the boundary of an open set.

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 year, Eton employs a ' Director-in-Residence ', an external professional director on a one-year contract who normally directs one house play and the Lower Boy play ( a school play open solely to the first two year groups ), as well as teaching Drama and Theatre Studies to most year groups.

Every microwave oven sold has a protective interlock so that it cannot be run when the door is open or improperly latched.

Every Tuesday and Saturday mornings in the summer near the old train station a farmers ' market is open, where farmers sell their fresh goods.

Every week of the Michaelmas and Lent terms, and twice in Easter term, Churchill is host to Pav, a music event unusual for Cambridge events in that it is free and open to all university members.

Every mRNA consists of three parts-5 ' untranslated region ( 5 ' UTR ), protein-coding region or open reading frame ( ORF ) and 3 ' untranslated region ( 3 ' UTR ).

Every smooth manifold defined in this way has a natural diffeology, for which the plots correspond to the smooth maps from open subsets of R < sup > n </ sup > to the manifold.

Every May, the community honors him with the open air Django Reinhardt Jazz Festival.

* Every subset of Baire space or Cantor space is an open set in the usual topology on the space.

Every summer, operas, music and drama are performed in the open air at the Freilichtbühne during the month-long Wetzlar Festival (" Wetzlarer Festspiele ").

Every year there is a famous cross-country ski race called the Engadin Skimarathon from Maloja, across the frozen lakes and over the open meadows and ending in S-chanf.

* 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 subspace of a completely regular or Tychonoff space has the same property.

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 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 infinite game in which is a Borel subset of Baire space is determined.

*( BCT1 ) Every complete metric space is a Baire space.

*( BCT2 ) Every locally compact Hausdorff space is a Baire space.

*( BCT1 ) Every complete metric space is a Baire space.

*( BCT2 ) Every locally compact Hausdorff space is a Baire space.

* Every non-empty Baire space is of second category in itself, and every intersection of countably many dense open subsets of X is non-empty, but the converse of neither of these is true, as is shown by the topological disjoint sum of the rationals and the unit interval 1.

* Every Polish space is obtained as a continuous image of Baire space ; in fact every Polish space is the image of a continuous bijection defined on a closed subset of Baire space.

* Every set of reals in L ( R ) is Lebesgue measurable ( in fact, universally measurable ) and has the property of Baire and the perfect set property.