Question: Why is Leon Trotsky associated with permanent revolution?

Context paragraphs:
Leon Trotsky Museum, Mexico City: The Leon Trotsky House Museum (Spanish: "Museo Casa de Leon Trotsky" ) is a museum honoring Leon Trotsky and an organization that works to promote political asylum, located in the Coyoacán borough of Mexico City.  The center of the complex is the house where Trotsky and his second wife, Natalia Sedova, lived from April 1939 to August 1940, and where Trotsky was murdered.  Trotsky's teenage grandson, Vsevolod Volkov (aka Seva Volkov, Esteban Volkov), also lived with Trotsky and Sedova at the house from August 1939 to August 1940.  The house has been kept as it was at that time, especially the study in which Ramón Mercader killed Trotsky with an ice axe to the back of the head.  Around the house is a garden and high walls with watchtowers.  The complex was turned into the current museum and asylum institution in 1990, on the 50th anniversary of the assassination.

Permanent revolution: Permanent revolution is a term within Marxist theory, coined by Karl Marx and Friedrich Engels by at least 1850 but which has since become most closely associated with Leon Trotsky.  The use of the term by different theorists is not identical.  Marx used it to describe the strategy of a revolutionary class to continue to pursue its class interests independently and without compromise, despite overtures for political alliances, and despite the political dominance of opposing sections of society.

Trotskyist Fraction – Fourth International: The Trotskyist Fraction – Fourth International is an international association of Trotskyist organizations that claims to follow the political legacy of the Fourth International and aims to reforge it.  It was formed by groups which arose as the "Internationalist Bolshevik Fraction" within the IWL-FI in 1989.  Regarded at first as an "external fraction" who had been wrongly expelled from 1988 to 1990, the PTS had three splits: first when a number of militants returned to the MAS, then when another group of militants sympathized with the British Workers Revolutionary Party (Worker Press) and the third when supporters of León Pérez (former member of the International Secretariat of the IWL) decided to follow a mass party perspective (as opposed to a vanguard party).  These splits forced the PTS to make a balance and self-criticism, resulting in a further development that mainly questioned the update of the Transitional Program (the so-called the "Theory of Democratic Revolution") that the leader of the IWL Nahuel Moreno made, understanding it as an opposition to Leon Trotsky's Theory of Permanent Revolution.  In 1993 it emerged as the Trotskyist Fraction - International Strategy, founded by the PTS of Argentina, the LTS of Mexico, the LOR of Bolivia and with the additions of the Estratégia Revolucionaria ("Revolutionary Strategy") group of Brazil and the Clase contra Clase ("Class against Class") group of Chile as well as some militant sympathizers in Europe.  In 2004, in its second international conference, coinciding with the congress of the Movement for the Refoundation of the Fourth International also met in Buenos Aires, the FT decided to change the name "International Strategy" to "Fourth International".  Following the economic crisis and demonstrations in several countries, the FT-CI has grown in Latin America and Europe and now promotes the formation of a new grouping: An International Movement for a Socialist Revolution - Fourth International.

Leon Trotsky: Leon Trotsky ( ;; also transliterated "Lyev", "Trotski", "Trotskij", "Trockij" and "Trotzky".  born Lev Davidovich Bronstein; 7 November 1879 – 21 August 1940) was a Marxist revolutionary, theorist, and Soviet politician.  Initially supporting the Menshevik Internationalists faction within the Russian Social Democratic Labour Party, he joined the Bolsheviks ("majority") just before the 1917 October Revolution, immediately becoming a leader within the Communist Party.  He would go on to become one of the seven members of the first Politburo, founded in 1917 to manage the Bolshevik Revolution.  During the early days of the Russian Soviet Federative Socialist Republic (RSFSR) and the Soviet Union, he served first as People's Commissar for Foreign Affairs and later as the founder and commander of the Red Army, with the title of People's Commissar of Military and Naval Affairs.  He became a major figure in the Bolshevik victory in the Russian Civil War (1918–1923).

Socialism in One Country: Socialism in One Country (Russian: Социализм в одной стране "Sotsializm v odnoi strane") was a theory put forth by Nikolai Bukharin and implemented by Joseph Stalin in 1924, and finally adopted by the Soviet Union as state policy.  The theory held that given the defeat of all the communist revolutions in Europe in 1917–1921 except Russia's, the Soviet Union should begin to strengthen itself internally.  That turn toward national communism was a shift from the previously held position by Classical Marxism that socialism must be established globally (world communism).  However, the proponents of the theory contend that it does not contradict world revolution or world communism, and only asserts that complete socialism is possible in one country, though communism is not.  The theory was in opposition to Leon Trotsky's theory of permanent revolution.

Trotskyism: Trotskyism is the theory of Marxism as advocated by Leon Trotsky.  Trotsky identified himself as an orthodox Marxist and Bolshevik-Leninist, and supported founding a vanguard party of the proletariat, proletarian internationalism, and a dictatorship of the proletariat based on working class self-emancipation and mass democracy.  Trotskyists are critical of Stalinism, as they oppose Stalin's theory of Socialism in One Country in favor of Trotsky's theory of Permanent Revolution.  Trotskyists also criticize the bureaucracy that developed in the Soviet Union under Stalin.

The Permanent Revolution: The Permanent Revolution is a political theory book by communist leader Leon Trotsky.  Its title is the name of the concept of permanent revolution advocated by Trotsky and Trotskyists in opposition to the concept of socialism in one country as advocated by Joseph Stalin and Stalinists.  It was first published by the Left Opposition in the Russian language in Germany in 1930.

Uneven and combined development: Uneven and combined development (or unequal and combined development) is a Marxist concept to describe the overall dynamics of human history.  It was originally used by the Russian revolutionary Leon Trotsky around the turn of the 20th century, when he was analyzing the developmental possibilities that existed for the economy and civilization in the Russian empire, and the likely future of the Tsarist regime in Russia.  It was the basis of his political strategy of permanent revolution, which implied a rejection of the idea that a human society inevitably developed through a uni-linear sequence of necessary "stages".  Trotsky's ideas matured under the influence of Georg Vollmar's study of a possibility of socialism in one country, as well as John Hobson, Rudolf Hilferding and Vladimir Lenin's studies of imperialism.  Also before Trotsky, Nikolay Chernyshevsky and Vasily Vorontsov proposed a similar idea.  The concept is still used today by Trotskyists and other Marxists concerned with world politics.

Permanent Revolution (group): Permanent Revolution was a Trotskyist group formed by people expelled from the League for the Fifth International (L5I) in 2006.  It took its name from Leon Trotsky's theory of permanent revolution.  The group dissolved itself in 2013.

Permanent Revolution (album): Permanent Revolution is the title for ska band Catch 22's fourth studio album, released on June 27, 2006 (July 18, 2006, in Canada).  The album can be classified as a concept album, centered on the life of Leon Trotsky (1879–1940), with the title being named after Trotsky's theory of permanent revolution.  A few of the songs of the album were pre-released, and could be listened to for free at their official website.  A limited edition 7” of "Party Song" was released on red vinyl, available through Permanent Revolution pre-orders at Interpunk and F.Y.E.

Supporting paragraphs: Permanent revolution Leon Trotsky
Answer: He would go on to become one of the seven members of the first Politburo, founded in 1917 to manage the Bolshevik Revolution.