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Piri Reis map. Surviving fragment of the Piri Reis map showing Central and South America shores.

Piri Reis map

In his notes appended to it is written "the map of the western lands drawn by Columbus"[1] The Piri Reis map is a world map compiled in 1513 from military intelligence by the Ottoman admiral and cartographer Piri Reis (pronounced [piɾi ɾeis]). Approximately one-third of the map survives; it shows the western coasts of Europe and North Africa and the coast of Brazil with reasonable accuracy. Various Atlantic islands including the Azores and Canary Islands are depicted, as is the mythical island of Antillia and possibly Japan.

The historical importance of the map lies in its demonstration of the extent of exploration of the New World by approximately 1510, and in its claim to have used Columbus's maps, otherwise lost, as a source. Geometric topology. In mathematics, geometric topology is the study of manifolds and maps between them, particularly embeddings of one manifold into another.

Geometric topology

Topics[edit] Some examples of topics in geometric topology are orientability, handle decompositions, local flatness, and the planar and higher-dimensional Schönflies theorems. In all dimensions, the fundamental group of a manifold is a very important invariant, and determines much of the structure; in dimensions 1, 2 and 3, the possible fundamental groups are restricted, while in every dimension 4 and above every finitely presented group is the fundamental group of a manifold (note that it is sufficient to show this for 4- and 5-dimensional manifolds, and then to take products with spheres to get higher ones). In low-dimensional topology: each have their own theory, where there are some connections.

Rila mountain. Europe is generally agreed to be the birthplace of western culture, including such legendary innovations as the democratic nation-state, football and tomato sauce.

Rila mountain

The word Europe comes from the Greek goddess Europa, who was kidnapped by Zeus and plunked down on the island of Crete. Europa gradually changed from referring to mainland Greece until it extended finally to include Norway and Russia. Don't be confused that Europe is called a continent without looking like an island, the way the other continents do. It's okay. DoorBell.Net.