Unfairly classify as not having a single-track mind? (10)

I believe the answer is:

stereotype

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'not having a single-track mind?' is the definition.
I can't tell whether this definition defines the answer.

'unfairly classify' is the wordplay.
'unfairly' becomes 'stereo' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'classify' becomes 'type' (I've seen this in another clue).
'stereo'+'type'='STEREOTYPE'

'as' is the link.

Can you help me to learn more?

(Other definitions for stereotype that I've seen before include "Sort of plate" , "Pigeonhole" , "cast" , "Stock image" , "Conventional image" .)

I've seen this clue in The Times.

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