Instruct: Given a premise, retrieve hypotheses that are entailed by the premise.
Query: In mathematical representation theory, two representations of a group on topological vector spaces are called Naimark equivalent (named after Mark Naimark) if there is a closed bijective linear map between dense subspaces preserving the group action.
An open bijective linear map  will not satisfy the requirements of Naimark equivalence
There are two representatives in total for Nanaimo-Cowichan.
Russian mathematician Alexandrov named topology.
It was pointed out by Yuri Manin that quantum algebras play an important role in the theory of quantum groups.
In topological math, the Aleandroff extension extends space
Allen Blackmon and Nancy Harmon work together.
(NAM) stands for Non-American Movement
Giuseppe Vitali and Constantin Carathéodory shared credit for discovering this theorem, which is why it's named for them.
It is also a way to extend the compact topological space
Nashville West's members were close friends. 
Yuri Manin knows how to multiply
Pavel Alexandrov did topological math
A number of findings in topology are named after Pavel Alexandrov.
It was pointed out by Yuri Manin that quantum algebras play an important role in the theory of quadratic groups.
There are equals mentioned in this piece
John von Neumann and Arthur W. Burks were best friends.
Lauren Neidigh and Mike Thomas are friends.
Two actors from this movie, Spy for a Day, were chosen because they closely resemble each other.
The alliance and Treasury Board are a cohesive group.
Two names are mentioned in the text, and both have four letters.
Pavel Alexandrov made an equation for topological math
The 2 names that he was called, both have the same word in the middle.
Fifty-two representations of a group on topological vector spaces are called Naimark equivalent (named after Mark Naimark) if there is a closed bijective linear map between dense subspaces preserving the group action.
Knowledge of numerals does not help in mathematics.
The word "if" does not appear in the context.