ON THE HOMOTOPY TYPE OF DIFF (M") AND CONNECTED PROBLEMS

— The category of conilpotent dg P ¡ -coalgebras admits a model category structure, Quillen equivalent to that of dg P-algebras, in which every object is cofibrant and in which

When restricted to locally convex curves, this gives Theorem 1.8 which states that a locally convex curve in S 3 can be decomposed as a pair of curves in S 2 , one of which is

This paper provides an effective method to create an abstract simplicial complex homotopy equivalent to a given set S described by non-linear inequalities (polynomial or not)1. To

(4) Cofibrations have the left lifting property against trivial fibrations and fibrations have the right lifting property against trivial cofibrations with cofibrant domain.. (5)

There are two fairly obvious ones if we restrict attention to the based situation, and so are looking at spaces with a base ray (as above). Both these objects are cogroup objects in

manifold is P plus handles APi X Aq-Pi attached by means of the given em- bedding. It is an immediate consequence of the concordance extension theorem [4] that the two

(Top)ex, because Top itself is extensive and has finite limits; on the contrary, the proof is more delicate if one works with HTop, where only weak limits are

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