Well, the excerpt you have posted is not very well thought through. Possessives here are obviously an open class-- my friend's, John's, Mary's, my dog's, his aardvark's , ad infinitum-- as are cardinal and ordinal numbers-- eight-hundred-and-forty-first, eight-hundred-and-forty-second .... However, possessive nouns ( my friend's , etc) are not normally included among determiners, which are usually restricted to the finite pronouns: my, your, his, her, its, our, their, one's and whose .
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