17 citations · 88 across the 31 of their papers we have counts for
6 papers · 1 filter
Unifying Linear Algebra
Jerzy Dydak
We unify Linear Algebra by proposing a definition of determinants via one equation that implies all known properties of them:\\ 1. Cramer's Rule,\\ 2. Cofactor expansion,\\ 3. Anti…
Monotone-light factorizations in coarse geometry
Jerzy Dydak, Thomas Weighill
We introduce large scale analogues of topological monotone and light maps, which we call coarsely monotone and coarsely light maps respectively. We show that these two classes of m…
Asymptotic dimension of coarse spaces via maps to simplicial complexes
M. Cencelj, J. Dydak, A. Vavpetič
It is well-known that a paracompact space is of covering dimension at most if and only if any map from to a simplicial complex can be pushed into i…
Extensions of maps to M(Z_m,1)
Jerzy Dydak, Michael Levin
We show that a Moore space M(Z_m,1) is an absolute extensor for finite dimensional metrizable spaces of cohomological dimension dim_{Z_m} \leq 1.
Maps to the projective plane
Jerzy Dydak, Michael Levin
We prove the projective plane $\rp^2$ is an absolute extensor of a finite-dimensional metric space if and only if the cohomological dimension mod 2 of does not exceed 1. Th…
Compact maps and quasi-finite complexes
M. Cencelj, J. Dydak, J. Smrekar +2
The simplest condition characterizing quasi-finite CW complexes is the implication for all paracompact spaces . Here are the main results of the pape…