** Every Tychonoff space has a Stone – Čech compactification.

* 1970 – Roy Mayorga, American drummer ( Stone Sour, Soulfly, Amebix, Black President, and Nausea )

* 1818 – Lucy Stone, American activist ( d. 1893 )

* 1999 – Jesse Stone, American musician and songwriter ( b. 1901 )

* 1946 – Larry Graham, American singer-songwriter, bass player, and producer ( Sly and the Family Stone and Graham Central Station )

* 1873 – Fred Stone, American actor ( d. 1959 )

* 1937 – Robert Stone, American novelist

* 1961 – Dean DeLeo, American guitarist ( Stone Temple Pilots, Talk Show, and Army of Anyone )

* 1955 – Michael Stone, Irish loyalist

* 1913 – Richard Stone, English economist, Nobel Prize laureate ( d. 1991 )

* 1951 – The Stone of Scone, the stone upon which Scottish monarchs were traditionally crowned, is found on the site of the altar of Arbroath Abbey.

Stone ( 1847 – 1938 ), a leading American silversmith, was born, trained and worked in Sheffield, England, and Edinburgh, Scotland, before travelling to the United States in 1884.

Stone 1847 – 1938: Designer and Silversmith " by Elenita C. Chickering, 1994, Boston Athenaeum

After the defeat of the French Campaign in the Battle of the Nile, in 1801, the British Museum acquired more Egyptian sculpture and in 1802 King George III presented the Rosetta Stone – key to the deciphering of hieroglyphs.

He announced that, contrary to the expectations of some of his colleagues, he was not going to teach the Theory of Aggregates, nor Stone's Embedding Theorem, nor even the Stone – Čech compactification theorem.

* 1973 – Corey Taylor, American singer ( Slipknot, Stone Sour )

* 1954 – Stone Phillips, American television journalist

* 1907 – I. F. Stone, American journalist ( d. 1989 )

* 1950 – Doug Stone, Canadian voice actor

* 1983 – Lara Stone, Dutch model

Theodor Seuss Geisel (; March 2, 1904 – September 24, 1991 ) was an American writer, poet, and cartoonist most widely known for his children's books written under the pen names Dr. Seuss, Theo LeSieg and, in one case, Rosetta Stone.

The Paleolithic is subdivided into the Lower Paleolithic ( Early Stone Age, ending around 350, 000 – 300, 000 years ago ), the Middle Paleolithic ( Middle Stone Age, until 50, 000 – 30, 000 years ago ), and the Upper Paleolithic.

Among those Hausdorff compactifications, there is a unique " most general " one, the Stone – Čech compactification βX.

To understand the concept, it is useful to study several examples first, of which there are many: all free objects, direct product and direct sum, free group, free lattice, Grothendieck group, product topology, Stone – Čech compactification, tensor product, inverse limit and direct limit, kernel and cokernel, pullback, pushout and equalizer.

There is also the Stone – Čech compactification of the real line, which involves adding an infinite number of additional points.

In the mathematical discipline of general topology, Stone – Čech compactification is a technique for constructing a universal map from a topological space X to a compact Hausdorff space βX.

A form of the axiom of choice is required to prove that every topological space has a Stone – Čech compactification.

The Stone – Čech compactification occurs implicitly in a paper by and was given explicitly by and.

The Stone – Čech construction can be performed for more general spaces X, but the map X → βX need not be a homeomorphism to the image of X ( and sometimes is not even injective ).

One attempt to construct the Stone – Čech compactification of X is to take the closure of the image of X in

In order to verify that this is the Stone – Čech compactification, we just need to verify that it satisfies the appropriate universal property.

Stone – Čech compactification.

In case X is a completely regular Hausdorff space, the Stone – Čech compactification can be identified with the spectrum of C < sub > b </ sub >( X ).

( A similar but slightly more involved construction of the Stone – Čech compactification as a set of certain maximal filters can also be given for a general Tychonoff space.

The Stone – Čech compactification can be used to characterize ( the Banach space of all bounded sequences in the scalar field R or C, with supremum norm ) and its dual space.

* Corona set of a space, the complement of its image in the Stone – Čech compactification.

* Dror Bar-Natan, Ultrafilters, Compactness, and the Stone – Čech compactification

The advantages of the Alexandroff compactification lie in its simple, often geometrically meaningful structure and the fact that it is in a precise sense minimal among all compactifications ; the disadvantage lies in the fact that it only gives a Hausdorff compactification on the class of locally compact, noncompact Hausdorff spaces, unlike the Stone – Čech compactification which exists for any Tychonoff space, a much larger class of spaces.

# REDIRECT Stone – Čech compactification

) This construction is the Stone – Čech compactification.

* In 1934, he published two papers setting out what is now called Stone – Čech compactification theory.

* Stone – Čech compactification

* Stone – Čech compactification

* Stone – Čech compactification, mathematical technique, propounded in 1937 by Marshall Stone and Eduard Čech, which enables construction of universal map from topological space