Instruct: Given a premise, retrieve a hypothesis that is entailed by the premise.
Query: In the mathematical field of topology, the Alexandroff extension is a way to extend a noncompact topological space by adjoining a single point in such a way that the resulting space is compact. It is named for the Russian mathematician Pavel Alexandrov.
Alexandroff extensions compact topological space
Pavel Alexandrov named the extension himself.
Pavel Alexandrov did topological math
Pavel Sergeyevich Alexandrov wrote mostly about topology and set theory.
Pavel Alexandrov made an equation for topological math
Pavel Sergeyevich Alexandrox made significant contributions to set theory and topology by writing three hundred papers.
Russian mathematician Alexandrov named topology.
Aleksandrov's research was considered important and advanced knowledge of set theory and topology.
Pavel Alexandrov was a compact Russian.
Pavel Alexandrov  was also known for his artwork
Alexandrov was given a nobel piece prize.
Pavel Sergeyevich Alexandrov was a mathematician.
Pavel Sergeyevich Alexandrov wrote mainly about math topics.
Pavel Alexandrov was a mathematician in space
Paul Alexandroff was a Soviet biologist.
Alexandrov invented geometry.
Pavel Alexandrov was also known for other mathematical discoveries
Pavel Sergeyevich Alexandrov was a Russian mathematician.
Pavel Sergeyevich Alexandrov is a German mathematician.
Alexandrov was an expert in Calculus.
Pavel Alexandrov was born outside of Russia.
Alexandrov lived in Moscow.
Pavel Alexandrov named the extension himself.
The mathematical field of topology, was founded by Pavel Alexandrov. The Alexandroff extension is a way to extend a noncompact topological space by adjoining a single point in such a way that the resulting space is compact.
A number of findings in topology are named after Pavel Alexandrov.