Piecewise linear involutions of $S^1\times S^2$.

Free Piecewise Linear Involutions on Spheres

If T is a piecewise linear fixed-point free involution on S, the orbit space Q = S/T is a PL-manifold homotopy equivalent to P»(JR) ~ P n [2J; the affirmative solution to the Poincaré conjecture implies that conversely for n&Z, 4 the double covering manifold of any such Q can be identified with S. Write In for the set of (oriented if n is even) PL-homeomorphism classes of manifolds Q homotopy e...

Reversible maps and composites of involutions in groups of piecewise linear homeomorphisms of the real line

An element of a group is reversible if it is conjugate to its own inverse, and it is strongly reversible if it is conjugate to its inverse by an involution. A group element is strongly reversible if and only if it can be expressed as a composite of two involutions. In this paper the reversible maps, the strongly reversible maps, and those maps that can be expressed as a composite of involutions...

On Geometry of Linear Involutions

Let V be an n-dimensional left vector space over a division ring R and n ≥ 3. Denote by Gk the Grassmann space of k-dimensional subspaces of V and put Gk for the set of all pairs (S, U) ∈ Gk ×Gn−k such that S+U = V . We study bijective transformations of Gk preserving the class of base subsets and show that these mappings are induced by semilinear isomorphisms of V to itself or to the dual spac...

The implications of piecewise linear process of normal accruals

The present study investigates whether the basic assumption in the Jones model, which normal accruals are a linear function of change in sales, is empirically valid. It also discusses and addresses the implications of the assumption violation in the earnings management detection tests. The research employs a sample of 2832 observations of the annual information of firms listed in Tehran Stock E...

Piecewise Constant Controlled Linear Fuzzy Systems