Ultimately the Russian school of point-set topology, under the direction of Pavel Alexandrov and Pavel Urysohn, formulated Heine – Borel compactness in a way that could be applied to the modern notion of a topological space.

Ultimately, Gorbachev could not forge a compromise among these forces and the consequence was the dissolution of the Soviet Union.

Ultimately these plans failed because he could not reach a consensus with the powerful Islamist factions.

Ultimately, the system as it stood could not deal quickly enough with the large deficits and surpluses created in the balance of payments ; this has previously been attributed to increasing rigidity of wages ( particularly in terms of wage cuts ) brought about by the advent of unionized labor, but is now more likely thought of as an inherent fault with the system which came to light under the pressures of war and rapid technological change.

Ultimately, his unbending austerity could not inspire the devotion needed to hold his conquests together.

Ultimately, the parlement de Paris agreed that " all traditional observances should be carefully maintained to avoid the impression that the Estates-General could make things up as it went along.

Ultimately it made for a very flexible system with a vast array of options, but could easily suffer from play balance problems if particular sets of rules were used together, since little effort was made to balance different variants against each other, and power creep in the later professions and spell lists was very much in evidence.

Ultimately, however, his primary passion was still practical optics, once noting that " In all my experiments I could, owing to lack of time, pay attention to only those matter which appeared to have a bearing upon practical optics ".

" His review concludes " Ultimately, the one force the rebels could not overcome proved to be the BBC's long-standing apathy towards science fiction.

Ultimately, the league could not survive the arrival of affiliated baseball to Montgomery.

Ultimately, Uruk could not maintain long-distance control over colonies such as Tell Brak by military force.

Ultimately, if there was no veto, and the matter was of minor importance, it could be voted on by a voice vote or by a show of hands.

Ultimately, the British Foreign Office decided that Kolchak could do more for the Allied cause by toppling Vladimir Lenin and the Bolsheviks and bringing Russia back into the war on the Allied side.

Ultimately, the Army's Generals ( particularly Oliver Cromwell ) could rely both on the Army's internal discipline and its religious zeal and innate support for the " Good Old Cause " to maintain an essentially dictatorial rule.

Ultimately, Bartlett argued that the mistakes that the participants made could be attributed to schematic intrusions.

Ultimately, it was believed, enough individual unions could be won over that the entire trade union movement could be moved in a socialist direction.

Ultimately, the Red Dragon conspirators could not obtain the necessary financial backing for their plans and dissolved the conspiracy after a failed revolutionary attempt by Sun Yat-sen ’ s followers in March 1911.

Ultimately he chose Fox, believing he could control him easier than Pitt.

Ultimately, the target was not met and only a single track between Loughborough and Quorn could be afforded ( BR allowed more time to raise funds to purchase Quorn to Rothley ).

Ultimately the backup service must itself use one of the above methods so this could be seen as a more complex way of doing traditional backups.

Ultimately, the consistency of all of mathematics could be reduced to basic arithmetic.

Ultimately, economic stagnation in the Soviet Union could only have been caused by internal problems rather than external.

Ultimately, the constrained vision demands checks and balances and refuses to accept that any one person could put aside their innate self-interest.

Ultimately, O ' Malley and Moses could never come to agreement on a new location for the Dodgers, and the club moved west to Los Angeles.

Ultimately, this causes him to mercy kill his own son, which leads to his own death at the hands of the Furies.

Ultimately, we find out that Delmarre's neighbor and fellow roboticist Jothan Leebig was working on a way of subverting the robots ' inability to kill humans.

Ultimately, these destructive reactions will kill cells through apoptosis or necrosis.

Ultimately it is this fraternity that makes it possible, over the past two centuries, for so many millions of people, not so much to kill, as willingly to die for such limited imaginings.

Ultimately, however, Superman refuses to kill Kristin, even if it means he would have to spend the rest of his life battling Saturn.

Ultimately, the Jackal, in the process of attempting to kill and replace millions of people with clones he could control, was killed falling off a tall building while trying to save the Gwen clone.

Ultimately, however, Keough does kill the innocent man and is visibly shaken.

Ultimately, the blames switches to McCracken, with Stanley seeking to find and kill him for stealing his bankroll.

Ultimately, Geoffrey was shot by Inspector Sampson while trying to kill Richard, who eventually fell to his death anyway, and was instantly hospitalized and put in Frank's care.

Ultimately, Sharma confronts Imank, who attempts to kill him.

Ultimately, some, like John Shosky, have concluded " It is far from clear that any one person should be given the title of ' inventor ' of truth-tables.

Ultimately, the reasons a person consults a diviner or fortune teller are mediated by cultural expectations and by personal desires, and until a statistically rigorous study of the phenomenon have been conducted, the question of why people consult fortune-tellers is wide open for opinion-making.

Ultimately, the Salt Lake City police signaled that their prime person of interest was Richard Ricci, being held in custody for unrelated reasons.

Ultimately she is seen as a strong, wise, and independent person, but in trying to show her strength and independence, the author often presents her as an egotistical brat.

Ultimately, Kristin Shepard ( Crosby ) was revealed to have been the person who pulled the trigger in the classic " Who Shot J. R .?

Ultimately the affected person may bridge communication problems by becoming skilled in speech-reading, accepting elective surgery to use a prosthetic devices such as a cochlear implant, using a hearing aid, or acquiring skill in sign language for communication.

Ultimately the U.N. army in the Congo reached a top strength of 19,000, including about 5,000 from India and a few soldiers from Eire and Sweden, who were the only whites.

Ultimately, those who persist in rejecting God condemn themselves, by cutting themselves off from the ultimate source of all Life, and from the God who is Love embodied.

Ultimately, these issues have led to a souring of relationships with the erstwhile bandmates, who still have not resolved their personal differences as of 2012.

Ultimately it was Jeff Bridges who played the role of Preston Tucker.

Ultimately, he had to flag down a passing car and ask the driver ( who was driving a borrowed car without a license ) to take him to the ceremony.

" Ultimately, King Arthur and Sir Robin ( who shows up with his own knights ) both say " it " several times in conversation ( unaware that " it " was the word that was causing the Knights ' pain.

Tony Hines defines value as follows: “ Ultimately it is the customer who pays the price for service delivered that confirms value and not the producer who simply adds cost until that point ”

Ultimately this came down on the shoulders of Boris Shumyatsky, " executive producer " of Soviet film since 1932, who in early 1938 was denounced, arrested, tried and convicted as a traitor, and shot.

Ultimately, the behavioral-science results disappointed foundation officers, who shifted their human-engineering funds toward biological sciences.

Ultimately anyone who participates in the class struggle is a member of the " people "; the " Church of the people " becomes the antagonist of the hierarchical Church.

Ultimately, at least 150 of the congregation did make their way to Amsterdam meeting up with the Smyth party, who had joined with the Exiled English Church led by Francis Johnson ( 1562 – 1617 ), Barrowe's successor.

Ultimately, people expect men and women who occupy certain position to behave according to these attributes.

Ultimately, it was Newton's friend, editor and publisher, Edmond Halley who, in his 1705 Synopsis of the Astronomy of Comets, used Newton's new laws to calculate the gravitational effects of Jupiter and Saturn on cometary orbits.

Ultimately a dispute arose between Admiral Lord Charles Beresford, who favoured increased spending and a broad deployment, and the First Sea Lord Admiral Sir John Fisher, who favoured efficiency savings, scrapping obsolete vessels, and a strategic realignment of the Royal Navy relying on torpedo craft for home defence backed by the new dreadnoughts.

Ultimately the blame is publicly taken by Ulresile, who escapes with being exiled for several months ; the King makes it clear that further plots against the doctor will not be tolerated.

Ultimately, this brings questions about who we are and the nature of our own importance.

Ultimately the Duc takes poison to prevent himself confessing the truth to the authorities, but lives long enough to reveal it to another of his servants Pierre ( Harry Davenport ), a kindly old man who had earlier warned Henriette to escape from the de Praslin household.

Ultimately, the painting would be labelled as kitsch by critics who thought it lacking in interesting artistic features: contrast, coordinated lines, and a worthy subject.

Ultimately, Windrip is a venal and cynical showman who plays to the conformist resentments Lewis diagnosed in Main Street and Babbitt.

Ultimately the restructuring of the home and manner of living will allow individuals, especially women, to become an “ integral part of the social structure, in close, direct, permanent connection with the needs and uses of society .” This would be a dramatic change for women who generally considered themselves restricted by family life built upon their economic dependence on men.

Ultimately, the case was bogged down in the courts, " much to the delight of New Mexico Governor Bill Richardson, who knows all too well the value of Billy as a cultural icon and a draw for tourists ".

Ultimately, it was social psychologist Kurt Lewin ( 1890 – 1947 ) who coined the term group dynamics to describe the positive and negative forces within groups of people.