293562
The image under f of a 0-cell of X can thus be connected to a 0-cell of Y by a path , but this gives a homotopy from f to a map , which is cellular on the 0-skeleton of X. Assume inductively that f is cellular on the ( n − 1 ) - skeleton of X , and let en be an n-cell of X. The closure of en is compact in X , being the image of the characteristic map of the cell , and hence the image of the closure of en under f is also compact in Y. Then it is a general result of CW-complexes that any compact subspace of a CW-complex meets ( that is , intersects non-trivial ly ) only finitely many cells of the complex .
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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:
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