pronouns - Meaning of "that" in "holomorphic function in the sector S that is continuous"


I have encountered a confusing sentence in a math textbook:



Suppose F is a holomorphic function in the sector S that is continuous on the closure of S.



What does that mean in the above sentence? Does it mean the function F?



Answer




Suppose F is a holomorphic function in the sector S that is continuous on the closure of S



can be interpreted in two ways, because that can refer to the sector or the holomorphic function in the sector. Of course, from the context we know that it really refers to the latter.


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