111549
Considering the fact that H_n \ left ( S ^ n \ right ) \ cong \ mathbb , we see that f _ * must be of the form f _ * \ colon x \ mapsto \ alpha x for some fixed \ alpha \ in \ mathbb .
 None
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:  
Answer:
 None