* Cone ( topology )

* Cone ( topology )

The so-called " Terror Files " ( Portuguese: " Arquivos do Terror ") – a whole set of 60, 000 documents, weighting 4 tons and making 593, 000 microfilmed pages which were discovered by a former Paraguayan political prisoner Marti Almada, in Lambare, Paraguay, in 1992 – provides even higher numbers: the total result of Southern Cone Operation Condor had left up to 50, 000 killed, 30, 000 missing and 400, 000 arrested.

In 1930 the Greensboro " Patriots " of the old Piedmont League set up shop there, after a few decades at Cone Athletic Park ( near the Cone Mills plant a couple of miles to the northeast ), and made various improvements such as the installation of lights and a roof for the box seat area.

The Cone collection was the work of the Cone sisters, Claribel and Etta Cone, who in the early 20th century set out to acquire as much as they could of the work of artists such as Matisse and Picasso especially, and also Cézanne, Gauguin, Van Gogh, and Renoir among other major artists of the era.

The limiting cone is given by the family of maps π < sub > X </ sub >: Cone ( N, F ) → Hom ( N, FX ) where π < sub > X </ sub >( ψ ) = ψ < sub > X </ sub >.

The Archbishop of Tanzania offered “ personal reasons ” for his absence, while seven conservative Primates boycotted the meeting as a protest against the attendance of the more liberal Primates of The Episcopal Church of the United States of America and of Canada: namely, the Primates of the Provinces of the Indian Ocean, Jerusalem and the Middle East, Nigeria, Uganda, Southeast Asia, the Province of the Southern Cone in South America and the Province of West Africa.

On November 8, 2008 former Yankees Scott Brosius, Paul O ' Neill, David Cone and Jeff Nelson, all members of the 1998 World Series championship team, joined 60 children from two Bronx based youth groups Youth Force 2020 and the ACE Mentor Program in ceremoniously digging up home plate, the pitcher's mound pitching plate ( rubber ) and the surrounding dirt of both areas and transporting them to comparable areas of new Yankee Stadium.

Queenstown is a major centre for snow sports in New Zealand, with people from all over the country and many parts of the world travelling to ski at the four main mountain skifields ( Cardrona Alpine Resort, Coronet Peak, The Remarkables and Treble Cone ).

During the wars of the 19th century in the Southern Cone, the cavalries on all sides were composed almost entirely of gauchos.

The parents strongly supported education for all the children, who included Spencer Houghton Cone, Nicholson Henry, Levi, Caroline ( Carrie ), Newton, and Solomon.

Upton, Carl Crawford, Rocco Baldelli, Delmon Young, Seth McClung, Josh Hamilton, Toby Hall, and Aubrey Huff, who all played for the RiverDogs, Sandy Alomar, Jr., Roberto Alomar, and Carlos Baerga who all played for the Rainbows, Fernando Tatis, and David Cone who played for the Royals.

Anthony McCall's " solid light " films, such as Line Describing a Cone ( 1973 ) and Long Film for Ambient Light ( 1975 ), are other examples ; Long Film for Ambient Light, despite its title, employed no film at all.

Cone pulley driven from above by a line shaft

High point in the range is Single Cone ( 2319 metres ) with Ben Nevis ( 2230 metres, named after the Scottish mountain of the same name ) a little further south in the Hector mountains.

* Cone point

Hills of dry sclerophyll bushland include Botany Cone, 55 m, and Long Nose, 101 m. There are many small points and cliff formations and several walking tracks.

The head-related transfer function is involved in resolving the Cone of Confusion, a series of points where ITD and ILD are identical for sound sources from many locations around the " 0 " part of the cone.

He made a successful recovery from that injury and in 1998, he was selected by Tim Cone for the Philippine Centennial Team bound for the William Jones Cup ( where he scored 25 points with six triples against South East Asian rival, Thailand ) and the Asian Games.

Much of the peninsula is steep hill country, with the highest points being Mount Charles ( 408 m ), Harbour Cone, and Sandymount.

They were possibly commissioned by George Messiter of Barwick to mark the park boundaries at the four cardinal points: Jack the Treacle Eater ( a stone arch topped by a round tower ) to the east, the Fish Tower in the north, Messiter's Cone ( also known as the Rose Tower ), which is high, at the west end and the Needle to the south.

The study of topology in mathematics extends all over through point set topology, algebraic topology, differential topology, and all the related paraphernalia, such as homology theory, homotopy theory.

* Base ( topology ) of a topology: a generating set of the open sets of the topology

These categories surely have some objects that are " special " in a certain way, such as the empty set or the product of two topologies, yet in the definition of a category, objects are considered to be atomic, i. e., we do not know whether an object A is a set, a topology, or any other abstract concept – hence, the challenge is to define special objects without referring to the internal structure of those objects.

But how can we define the empty set without referring to elements, or the product topology without referring to open sets?

In mathematics, specifically general topology and metric topology, a compact space is a mathematical space in which any infinite collection of points sampled from the space must — as a set — be arbitrarily close to some point of the space.

For instance, any continuous function defined on a compact space into an ordered set ( with the order topology ) such as the real line is bounded.

* The right order topology or left order topology on any bounded totally ordered set is compact.

* R carrying the lower limit topology satisfies the property that no uncountable set is compact.

* In the cocountable topology on R ( or any uncountable set for that matter ), no infinite set is compact.

* Consider the set of all functions from the real number line to the closed unit interval, and define a topology on so that a sequence in converges towards if and only if converges towards for all.

* The spectrum of any commutative ring with the Zariski topology ( that is, the set of all prime ideals ) is compact, but never Hausdorff ( except in trivial cases ).

* Let X be a simply ordered set endowed with the order topology.

* A is a topologically closed set in the norm topology of operators.

A set is open in the Euclidean topology if and only if it contains an open ball around each of its points.

Felix Hausdorff ( November 8, 1868 – January 26, 1942 ) was a German mathematician who is considered to be one of the founders of modern topology and who contributed significantly to set theory, descriptive set theory, measure theory, function theory, and functional analysis.

The continuous dual space can be used to define a new topology on X: the weak topology.

The spaceX * of all linear maps into K ( which is called the algebraic dual space to distinguish it from X ′) also induces a weak topology which is finer than that induced by the continuous dual since X ′ ⊆ X *.

* Corollary If X is a Banach space, then X is reflexive if and only if X ′ is reflexive, which is the case if and only if its unit ball is compact in the weak topology.

A subset K of a topological space X is called compact if it is compact in the induced topology.

The Harrison topology is a topology on the set of orderings X < sub > F </ sub > of a formally real field F. Each order can be regarded as a multiplicative group homomorphism from F < sup >*</ sup > onto ± 1.

Giving ± 1 the discrete topology and ± 1 < sup > F </ sup > the product topology induces the subspace topology on X < sub > F </ sub >.

or the ( possibly infinite ) Cartesian product of the topological spaces X < sub > i </ sub >, indexed by, and the canonical projections p < sub > i </ sub >: X → X < sub > i </ sub >, the product topology on X is defined to be the coarsest topology ( i. e. the topology with the fewest open sets ) for which all the projections p < sub > i </ sub > are continuous.