Sets of weak sequential continuity for polynomials
Abstract Let P : E → K be an N-homogeneous polynomial, where E is a Banach space over K = R or C . We study properties of the set Cp = {x ∈ E : P is weakly sequentially continuous at x}.
Lineability of summing sets of homogeneous polynomials
Given a continuous n-homogeneous polynomial P : E ⟹ F between Banach spaces and 1 ≤ q ≤ p < ∞, in this article we investigate some properties concerning lineability and spaceability of the (p; q)-summing set of P, defined by S p; q (P) = {a ∈ E : P is (p; q)-summing at a}.
Google Earth: Mathematical Art Forms
We trace the development of Google Earth and consider various artifacts, natural and anthropogenic, ancient and modern. These artifacts are only obvious from high elevations and some have a mathematical form and artistic appeal. We also illustrate how Google Earth's high-altitude imagery can be fruitful inspiration for mathart and provide some example.