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In fact , the converse is also true ; being a Tychonoff space is both necessary and sufficient for possessing a Hausdorff compactification .
 person: Tychonoff; person: Hausdorff
Given options, please tell me the categories of all the listed entity words.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
 Entities: Tychonoff, Hausdorff 
Answer:
 person: Tychonoff; person: Hausdorff