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Every and homotopy
Every homeomorphism is a homotopy equivalence, but the converse is not true: for example, a solid disk is not homeomorphic to a single point, although the disk and the point are homotopy equivalent.
Every CW-complex possesses a Postnikov tower, that is, it is homotopy equivalent to an iterated fibration with fibers the Eilenberg – MacLane spaces.

Every and equivalence
Every element of is a member of the equivalence class.
Every two equivalence classes and are either equal or disjoint.
Every congruence relation has a corresponding quotient structure, whose elements are the equivalence classes ( or congruence classes ) for the relation.
Every adjunction 〈 F, G, ε, η 〉 extends an equivalence of certain subcategories.
Every equivalence or duality of abelian categories is exact.
Every commodity is listed separately, and there is never any sign of equivalence between one unit and another.
Every ordered basis lives in one equivalence class or another.

Every and between
Every morning early, in the summer, we searched the trunks of the trees as high as we could reach for the locust shells, carefully detached their hooked claws from the bark where they hung, and stabled them, a weird faery herd, in an angle between the high roots of the tulip tree, where no grass grew in the dense shade.
Every year both clubs play the " Klassieker " (" The Classic "), a derby match between the teams from the two largest cities of the Netherlands.
Disraeli wrote a personal letter to Gladstone, asking him to place the good of the party above personal animosity: " Every man performs his office, and there is a Power, greater than ourselves, that disposes of all this ..." In responding to Disraeli Gladstone denied that personal feelings played any role in his decision then and previously to accept office, while acknowledging that there were differences between him and Derby " broader than you may have supposed.
Every information exchange between living organisms — i. e. transmission of signals that involve a living sender and receiver can be considered a form of communication ; and even primitive creatures such as corals are competent to communicate.
Every six months the presidency rotates between the states, in an order predefined by the Council's members, allowing each state to preside over the body.
During the Renaissance, there arose a critical attitude that sharply distinguished between apostolic tradition and what George Every calls " subsidiary mythology "— popular legends surrounding saints, relics, the cross, etc .— suppressing the latter.
George Every discusses the connection between the cosmic center and Golgotha in his book Christian Mythology, noting that the image of Adam's skull beneath the cross appears in many medieval representations of the crucifixion.
Every module over a division ring has a basis ; linear maps between finite-dimensional modules over a division ring can be described by matrices, and the Gaussian elimination algorithm remains applicable.
Every node has a location, which is a number between 0 and 1.
Every Mac made between 1986 and 1998 has a SCSI port on the back, making external expansion easy ; also, " toaster " Compact Macs did not have easily accessible hard drive bays ( or, in the case of the Mac Plus, any hard drive bay at all ), so on those models, external SCSI disks were the only reasonable option.
Every two months IMU publishes an electronic newsletter, IMU-Net, that aims to improve communication between IMU and the worldwide mathematical community by reporting on decisions and recommendations of the Union, major international mathematical events and developments, and on other topics of general mathematical interest.
British playwright Tom Stoppard wrote Every Good Boy Deserves Favour about the relationship between a patient and his doctor in one of these hospitals.
Every citation he found described an encounter between males where one party, the master, physically abused another, the slave.
* Every Lie group is parallelizable, and hence an orientable manifold ( there is a bundle isomorphism between its tangent bundle and the product of itself with the tangent space at the identity )
Every homomorphism f: G → H of Lie groups induces a homomorphism between the corresponding Lie algebras and.
Every LORAN chain in the world uses a unique Group Repetition Interval, the number of which, when multiplied by ten, gives how many microseconds pass between pulses from a given station in the chain.
* Every episode of James Joyce's modernist novel Ulysses ( 1922 ) has an assigned theme, technique and correspondences between its characters and those of Homer's Odyssey.
Every quark in the universe does not attract every other quark in the above distance independent manner, since colour-confinement implies that the strong force acts without distance-diminishment only between pairs of single quarks, and that in collections of bound quarks ( i. e., hadrons ), the net colour-charge of the quarks cancels out, as seen from far away.
Every smooth ( or differentiable ) map φ: M → N between smooth ( or differentiable ) manifolds induces natural linear maps between the corresponding tangent spaces:
Every uniformly continuous function between metric spaces is continuous.
They draw three conclusions from Austin: ( 1 ) A performative utterance does not communicate information about an act second-hand — it is the act ; ( 2 ) Every aspect of language (" semantics, syntactics, or even phonematics ") functionally interacts with pragmatics ; ( 3 ) There is no distinction between language and speech.
Every year the mayor and the 24 échevins would swear an oath of allegiance " between the hands " of the king or his representative, usually the lieutenant général or the sénéchaussée.
Every car uses either a 5. 0 L Ford " Boss 302 " SVO or a 5. 0 L Chevrolet small block race-engine ( depending on the make )-capable of producing between 460 and 485 kW ( 620 — 650 bhp ) of power, but generally quoted as a little over 450 kW ( 600 bhp ) in race trim.
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 and two
If nothing else, at least two good songs came out of the project, `` Out Of This World '' and `` June Comes Around Every Year ''.
Every few minutes she would awaken for a moment to review things: Stowey, yes, was on his way south, and the two boys were away in school, and nothing was burning on the stove, and Lucretia was coming for dinner and bringing three guests of hers.
Every calculation has been made independently by two workers and checked by one of the editors.
Every yacht should carry at least two anchors – the main or bower anchor and a second lighter kedge anchor.
Every cleric in Holy Orders and every member of a religious order must publicly join in or privately read aloud ( i. e. using the lips as well as the eyes — it takes about two hours in this way ) the whole of the Breviary services allotted for each day.
Every two years the meeting is held in a different member state, and is chaired by that nation's respective Prime Minister or President, who becomes the Commonwealth Chairperson-in-Office.
Every tile belongs to the two suits of its two values, e. g. 0 – 3 belongs both to the blank suit ( or 0 suit ) and to the 3 suit.
* Every group G acts on G, i. e. in two natural but essentially different ways:, or.
Wanting to capitalize on the countries aviation craze, Fox immediately bought Hawks's original story for The Air Circus, a variation of the male friendship plot of A Girl in Every Port about two young pilots.
Every individual style of jazz dance has roots traceable to one of these two distinct origins.
Every library module has at least two source files: a definitions file specifying the library's interface plus one or more program files specifying the implementation of the procedures in the interface.
Every night, all human dreams are played out in Nightopia and Nightmare, the two parts of the dream world.
Every party committee and party organizational department, from the all-union level in Moscow to the district and city levels, prepared two lists according to their needs.
Every ridge arises as the intersection of two facets ( but the intersection of two facets need not be a ridge ).
He proceeds from two premises: “ Every crime includes an injury: every injury includes a violation of a right .” ( Lectures, III, ii.
Every match must be assigned a rule keeper known as a referee, who is the final arbitrator ( In multi-man lucha libre matches, two referees are used, one inside the ring and one outside ).
The revised edition of Robyn was released in the UK in April 2007, and contains two new tracks —" With Every Heartbeat " ( a collaboration with Kleerup ) and " Cobrastyle " ( a cover of a 2006 single by Swedish rockers Teddybears )— alongside slightly altered versions of two of the original songs.
Every six months, the Council elects two Captains Regent to be the heads of state.
Every positive number a has two square roots:, which is positive, and, which is negative.

0.872 seconds.