We present projective versions of the center point theorem and Tverberg’s theorem, interpolating between the original and the so-called “dual” center point and Tverberg theorems. Furthermore we give a common generalization of these and many other known (transversal, constraint, dual, and colorful) Tverberg type results in a single theorem, as well as some essentially new results about partition...

The Hausdorff dimension of the holonomy pseudogroup of a codimensionone foliation F is shown to coincide with the Hausdorff dimension of the space of compact leaves (traced on a complete transversal) when F is non-minimal, and to be equal to zero when F is minimal with non-trivial leaf holonomy.

In the Poggendorff display, which consists of parallel lines interrupting a transversal, one of the two transversal segments was replaced by a dot lying along the parallel. The angle between the remaining transversal segment and the parallels was varied in 15 degree increments, as was the orientation of the transversal with respect to the subject. Subjects set the dot to appear collinear with t...

A flat of a matroid is cyclic if it is a union of circuits; such flats form a lattice under inclusion and, up to isomorphism, all lattices can be obtained this way. A lattice is a Tr-lattice if all matroids whose lattices of cyclic flats are isomorphic to it are transversal. We investigate some sufficient conditions for a lattice to be a Tr-lattice; a corollary is that distributive lattices of ...

We prove transversality theorems for piecewise linear manifolds, maps and polyhedra. Our main result is that given two closed manifolds contained in a third, then one can be ambient isotoped until it is transversal to the other. This result is then extended to maps and polyhedra. The transversality theory for smooth manifolds was initiated by Thorn in his classical paper [8], and has been exten...

ions for Mechanical Systems Sloth, Christoffer; Wisniewski, Rafal Published in: Lagrangian and Hamiltonian Methods for Non Linear Control DOI (link to publication from Publisher): 10.3182/20120829-3-IT-4022.00049 Publication date: 2012 Document Version Publisher's PDF, also known as Version of record Link to publication from Aalborg University Citation for published version (APA): Sloth, C., & ...

Following Michel de Certeau’s theory of spatialising, tactical practices of the everyday, Bryan Reynolds and Joseph Fitzpatrick argue for a distinction between “subjective” and “transversal” kinds of territory. Transversality acts to cut across the gridded lines of hegemonic place which serve to bind intelligible subject positions. If the terms of transversal territory can be applied to the pro...

ions for Mechanical Systems Sloth, Christoffer; Wisniewski, Rafal Published in: Lagrangian and Hamiltonian Methods for Non Linear Control DOI (link to publication from Publisher): 10.3182/20120829-3-IT-4022.00049 Publication date: 2012 Document Version Publisher's PDF, also known as Version of record Link to publication from Aalborg University Citation for published version (APA): Sloth, C., & ...