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Moreover, since R is a subgroup of F, its classifying space BR is a covering of BF, indeed it is ( BR = EF /R), and is a CW-complex of dimension 1 (whence, the theorem of Nielsen that a subgroup R of a free group F is also free).
Conversely, the theory of fibre bundles and homotopy theory give a topological incarnation of a group G through its classifying space BG.
As a second application, we construct, in a purely analytical language, various homomorphisms linking the homology of a group in low degree, the K-homology of its classifying space and the analytic K-theory of its C∗-algebra, in close connection with the Baum Connes assembly map.
The ride-hailing service Uber has been dancing as fast as it can to fend off a legal challenge that could upend its business model, which depends on its classifying its drivers as independent contractors rather than employees.
In order to develop a metabolite-based molecular approach for the detection of breast cancer, we analyzed each metabolite for its classifying power.
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It is supposed to be able to help prevent or respond to terror attacks and be ready, on short notice, to join Department of Defense convoys, which means its classified communications equipment is essential to its mission.
X5 released its Classify app that lets you browse an intelligently organized library of classical music by composer, era, mood, or genre as part of the second batch of Spotify apps launched in March.
It classifies its businesses into two underwriting segments: Insurance and Reinsurance.
As such the UK company reports its results in euros, which it classifies as its "functional and presentational currency".
And at its worst, classifying genius simply becomes a game of accumulation in which a musician becomes valued for how many instruments he or she can play.
For example, at intervals, as time advances, each cell within analogue cultures uses updated information about its environment to classify its condition.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com