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math.AT2011
Homology groups of filtrations
Peter Saveliev
Such modern applications of topology as data analysis and digital image analysis have to deal with noise and other uncertainty. In this environment, topological spaces often appear…
math.AT2001
Removing coincidences of maps between manifolds of different dimensions
Peter Saveliev
We consider sufficient conditions of local removability of coincidences of maps f,g:N->M, where M,N are manifolds with dimensions dimN>dimM. The coincidence index is the only obstr…
math.AT1999★ 1 cited
Lefschetz Coincidence Theory for Maps Between Spaces of Different Dimensions
Peter Saveliev
For a given pair of maps f,g:X->M from an arbitrary topological space to an n-manifold, the Lefschetz homomorphism is a certain graded homomorphism L:H(X)->H(M) of degree (-n). We…