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We develop a nonlinear spectral graph theory, in which the Laplace
operator is replaced by the 1 Laplacian ∆1
. The eigenvalue problem is to
solve a nonlinear system, involving a set valued f...
A unified approach to the plus-construction, Bousfield localization, Moore spaces and zero-in-the-spectrum examples
plus-construction Bousfield localization Moore spaces zero-in-the-spectrum K-Theory and Homology
2011/9/14
Abstract: We introduce a construction adding low-dimensional cells to a space that satisfies certain low-dimensional conditions; it preserves high-dimensional homology with appropriate coefficients. T...
Leaves and trajectories for schemes. Application to the comparison of three classical sheaves over the differential spectrum
Leaves trajectories schemes classical sheaves the differential spectrum
2010/11/15
We define leaves and trajectories for schemes endowed with a vector field. With the help of these tools, we are able to give a geometrical interpretation and to generalize several results and constru...