The joints problem in r^nWe show that given a collection of A lines in \R^n, n\geq 2, the maximumnumber of their joints (points incident to at least n lines whose directionsform a linearly independent set) is O(A^{n/(n-1)})....
A lindemann-weierstrass theorem for semiabelian varieties over . . .We prove an analogue of the Lindemann-Weierstrass theorem (that the exponentials of a Q-linearly independent set of algebraic numbers are algebraically independent), replacing Q alg by C(t) alg, and G n m by a semiabelian variety over C(t)alg....
Cobordism independence of grassmannian manifoldsThis note proves that, for F = R,C or H, the bordism classes of all nonbounding Grassmannian manifolds Gk(F n+k), with k < n and having real dimension d, constitute a linearly independent set in the unoriented bordism group Nd regarded as a Z2-vector space
Linearly independent set families AbstractAn apparently new definition of linearly independent set families in a linear space Rk is given (for short 'independent set families') and a relation of such families to families of separating hyperplanes is...
