Loggerhead Key Key is named after the loggerhead sea turtle, an endangered marine reptile and species of sea turtle with a cosmopolitan distribution throughout the world. The Little Africa coral reef is located at Loggerhead Key. The reef is home to various species of tropical fish, spiny lobster and several juvenile game fish. Coral types include "various species of stony and gorgonian coral". The flora of Loggerhead Key includes mangrove, coconut trees, geiger trees, morning glory, sea lavender and cactus. In the 1840s, the island was covered with white buttonwood trees, which were burned or cut down by island inhabitants. Bay cedar
History of manifolds and varieties History of manifolds and varieties The study of manifolds combines many important areas of mathematics: it generalizes concepts such as curves and surfaces as well as ideas from linear algebra and topology. Certain special classes of manifolds also have additional algebraic structure; they may behave like groups, for instance. In that case, they are called Lie Groups. Alternatively, they may be described by polynomial equations, in which case they are called algebraic varieties, and if they additionally carry a group structure, they are called algebraic groups. The term "manifold" comes from German "Mannigfaltigkeit," by Riemann. In English, "manifold" refers to