Abstract:In previous papers, we used the standard simplices Δ ( ≥ 0) endowed with diffeologies having several good properties to introduce the singular complex D ( ) of a diffeological space . On the other hand, Hector and Christensen-Wu used the standard simplices Δ sub ( ≥ 0) endowed with the sub-diffeology of R +1 and the standard affine -spaces A ( ≥ 0) to introduce the singular complexes D sub ( ) and D aff ( ), respectively, of a diffeological space . In this paper, we prove that D ( ) is a fibrant approximation … Show more
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