Expansive soils are one of the examples of tropical soils. These soils pose problems to civil engineers in general and to geotechnical engineers in particular. They cause damage to structures founded in them because of their potential to react to changes in moisture regime. They undergo severe volume changes corresponding to changes in moisture content. Because of their potential to undergo vol...

A homeomorphism f : X → X of a compactum X is expansive (resp. continuum-wise expansive) if there is c > 0 such that if x, y ∈ X and x 6= y (resp. if A is a nondegenerate subcontinuum of X), then there is n ∈ Z such that d(f(x), f(y)) > c (resp. diam f(A) > c). We prove the following theorem: If f is a continuum-wise expansive homeomorphism of a compactum X and the covering dimension of X is po...

We study expansive dynamical systems in the setting of distributive lattices and their automorphisms, usual notion expansiveness for a homeomorphism compact metric space being particular case when lattice is topology phase ordered by inclusion automorphism one induced homeomorphism, mapping open sets to sets. prove this context generalizations Mañé's Theorem Utz's about finite dimensionality an...