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, 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, being properly seated may facilitate increased social skills ; this is because a child is now able to maintain eye contact with their peers, look around the classroom, and engage with their social environment.

Ultimately, these switching mechanisms alter genetic alleles for wing characteristics, helping to maintain biological dispersal.

Ultimately, many of the deployed technologies help mitigate the oil dependence of the United States, reduce carbon emissions from fossil fuel use, and maintain U. S. industry competitiveness.

Ultimately, Featherston is a victim of his own megalomania, as he forces himself to attempt to accomplish increasingly dangerous goals in order to maintain his own belief in his greatness.

Ultimately, this helps us understand how to maintain high quality water and economically viable commodity production.

Ultimately however, O ' Neal ceased his work with Palubinskas and was unable to maintain the level of success he found late in that 2000 – 01 season.

Ultimately the project failed to produce a functional robot control system, and ATR terminated it along with the closure of ATR-HIP in February 2001.

Ultimately, thousands of Jews were killed and the Romans destroyed many towns in re-establishing control over Judea ; they also took Jerusalem in 70.

Ultimately the control of appetite by this mechanism is thought to be mediated by the same factors normally controlling appetite, such as neurotransmitters ( serotonin, dopamine, histamine ), corticotropin releasing factor, neuropeptide Y, and α-melanocyte-stimulating hormone.

Ultimately, it resulted in the English Navy gaining control of the seas around England, and forced the Dutch to accept an English monopoly on trade with England and English colonies.

Ultimately, the name was changed to its current state to avoid confusion of a condo complex in the area, and Leadership Housing, Inc. assumed control after a merger deal.

Ultimately, control of FHB, to meet the very low DON limits in wheat grain, will require an integrated approach including development of cultivars having multiple resistance genes and use of fungicides.

Ultimately, the Jacobins were to control several key political bodies, in particular the Committee of Public Safety and, through it, the National Convention, which was not only a legislature but also took upon itself executive and judicial functions.

Ultimately, Nur ed-Din's Kurdish general Shirkuh was successful in conquering Egypt in 1169, but Shirkuh's nephew and successor as Governor of Egypt, Saladin, eventually rejected Nur ad-Din's control.

Ultimately the Third Anglo-Maratha War ( 1817 – 1818 ), a last-ditch effort to regain sovereignty, resulted in the loss of Maratha independence: it left the British in control of most of India.

Ultimately, control of the Suez Canal and of Gibraltar would complete the picture.

Ultimately, this positioning would allow the French to control all western roads leading to and from Vienna.

Ultimately, a spectrophotometer is able to determine, depending on the control or calibration, what substances are present in a target and exactly how much through calculations of observed wavelengths.

Ultimately, Old Court partisans gained control of both houses of the legislature, and the New Court was abolished permanently in December 1826.

Ultimately the republiquetas never had the size nor organization to actually bring about the independence of Upper Peru, but instead maintained a fifteen-year stalemate with royalist regions, while holding off attempts by Buenos Aires to control the area.

Ultimately the Europeans gained complete control of the vast area in central Africa.

Ultimately, the sketch would usually end with her losing control of herself, such as falling over, crashing into a wall or destroying something.

Ultimately in June 1995 in an effort to re-assert a measure of control by the central government over the often wayward provinces in an environment of limited numbers of personnel qualified for public office in many of the provinces, the office of provincial premier was abolished and the Regional ( at-large ) members of Parliament became provincial governors, while retaining their national seats in Parliament.

Ultimately, Stockham rejected the " Male Continence " techniques of John Humphrey Noyes in favour of gender parity in orgasm control.

Ultimately Grindelwald was defeated by Dumbledore, who then assumed control of the wand.

Ultimately, she seeks the aid of Krona, first, to enslave, and later, to destroy the Earth, as she preferred to have it blasted to nothingness than allow it to remain outside of her control.

Ultimately Philip Constantine rises to power and takes control of the Ring Council, ousting Mavride's and Lindsay's pro-détente faction.

Ultimately, Longmeadow ceded control of the park to the City of Springfield.

) Ultimately, Secretary of Agriculture Roger Tribbey is chosen ; the episode closing with the President briefing him on damage control, and leaving him in the Oval Office as he leaves for the Capitol to deliver the State of the Union Address.