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In the present paper a criteria for a rectangular diagram to admit a simplification is given in terms of Legendrian knots. It is shown that there are two types of simplifications which are mutually in...
Homotopy coherent diagrams and approximate fibrations
Approximate fibration homotopy coherence ENR
2011/9/21
Abstract: Let p be a fibration over a finite simplicial complex, whose fibers have the homotopy type of finite simplicial complexes. Then p is equivalent to an approximate fibration whose total space ...
On resolutions of diagrams of algebras
diagrams of algebras Algebraic Topology K-Theory and Homology
2011/8/29
Abstract: We prove a restricted version of a conjecture by M. Markl on resolutions of an operad describing diagrams of algebras. We discuss a particular case related to the Gerstenhaber-Schack diagram...