A top is a toy designed to be spun rapidly on the ground, the motion of which causes it to remain precisely balanced on its tip because of inertia. Such toys have existed since antiquity. Traditionally tops were constructed of wood, sometimes with an iron tip, and would be set in motion by aid of a string or rope coiled around its axis which, when pulled quickly, caused a rapid unwinding that would set the top in motion. Today they are often built of plastic, and modern materials and manufacturing processes allow tops to be constructed with such precise balance that they can be set in motion by a simple twist of the fingers and twirl of the wrist without need for string or rope.
The motion of a top is produced in the most simple forms by twirling the stem using the fingers. More sophisticated tops are spun by holding the axis firmly while pulling a string or twisting a stick or pushing an auger. In the kinds with an auger, an internal weight rotates, producing an overall circular motion. Some tops can be thrown, while firmly grasping a string that had been tightly wound around the stem, and the centrifugal force generated by the unwinding motion of the string will set them spinning upon touching ground.
A top is clothing that covers at least the chest, but which usually covers most of the upper human body between the neck and the waistline. The bottom of tops can be as short as mid-torso, or as long as mid-thigh. Men's tops are generally paired with pants, and women's with pants or skirts. Common types of tops are t-shirts, blouses and shirts.
The neckline is the highest line of the top, and may be as high as a head-covering hood, or as low as the waistline or bottom hem of the top. A top may be worn loose or tight around the bust or waist, and may have sleeves or shoulder straps, spaghetti straps (noodle straps), or may be strapless. The back may be covered or bare. Tops may have straps around the waist or neck, or over the shoulders.
In mathematics, the category of topological spaces, often denoted Top, is the category whose objects are topological spaces and whose morphisms are continuous maps or some other variant; for example, objects are often assumed to be compactly generated. This is a category because the composition of two continuous maps is again continuous. The study of Top and of properties of topological spaces using the techniques of category theory is known as categorical topology.
N.B. Some authors use the name Top for the category with topological manifolds as objects and continuous maps as morphisms.
Like many categories, the category Top is a concrete category (also known as a construct), meaning its objects are sets with additional structure (i.e. topologies) and its morphisms are functions preserving this structure. There is a natural forgetful functor
to the category of sets which assigns to each topological space the underlying set and to each continuous map the underlying function.
Coordinates: 43°N 12°E / 43°N 12°E / 43; 12
Italy (i/ˈɪtəli/; Italian: Italia [iˈtaːlja]), officially the Italian Republic (Italian: Repubblica Italiana), is a unitary parliamentary republic in Europe. Italy covers an area of 301,338 km2 (116,347 sq mi) and has a largely Mediterranean and temperate climate; due to its shape, it is often referred to in Italy as lo Stivale (the Boot). With 61 million inhabitants, it is the 4th most populous EU member state. Located in the heart of the Mediterranean Sea, Italy shares open land borders with France, Switzerland, Austria, Slovenia, San Marino and Vatican City.
Since ancient times, Greeks, Etruscans and Celts have inhabited the south, centre and north of the Italian Peninsula respectively. Rome ultimately emerged as the dominant power, conquering much of the ancient world and becoming the leading cultural, political, and religious centre of Western civilisation. The legacy of the Roman Empire is widespread and can be observed in the global distribution of civilian law, Republican governments, Christianity and the latin script.
Roman Italy was created officially by the Roman Emperor Augustus with the Latin name Italia. It was the first time in history that the Italian peninsula (from the Alps to the Ionian Sea) was united under the same name. In the year 292, the three islands of Corsica, Sardinia and Sicily were added to Roman Italy by Emperor Diocletianus.
Italy (Italia in Latin and Italian) was the name of the administrative division of the Italian peninsula during the Roman era. It was not a province, but became the territory of the city of Rome, thus having a special status. Following the end of the Social War (91–88 BC), Rome had allowed its Italian allies (socii) full rights in Roman society and granted the Roman citizenship to all the Italic peoples.
After having been for centuries the heart of the Empire, from the 3rd century the government and the cultural center began to move eastward: first the Edict of Caracalla in 212 AD extended Roman citizenship to all free men within the imperial boundaries, then during Constantine's reign (306–337) the seat of the Empire was moved to Constantinople in 330 AD.
Italia is a 12-metre class yacht that competed in the 1987 Louis Vuitton Cup.