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Pointless and topology
* Pointless topology
* Pointless topology

Pointless and .
In its place the quiz show The Weakest Link, moved from BBC Two, later replaced in 2011 by Pointless.
* Graceless, Aimless, Feckless, and Pointless: the farm's cows, and Adam Lambsbreath's chief charge.
* Gerla, G., 1995, " Pointless Geometries " in Buekenhout, F., Kantor, W.
He is best known as one half of the comedy duo Armstrong and Miller, alongside Ben Miller and as host of the BBC game show Pointless.
He has been the presenter of the BBC One game show Pointless alongside former university mate Richard Osman since it began in 2009.
The 100 Most Pointless Things in the World will be published in the UK by Coronet, an imprint of Hodder & Stoughton, in October 2012.
She also launched a singing career ( under the name Tammin ), with her debut single, " Pointless Relationship ", released on 14 November 2004 and debuting in the top 10 of the Australian singles chart the following week.
Sursok's debut single, " Pointless Relationship ", became the number one most added single to Australian radio in late October 2004.
In August 2005, Sursok temporarily relocated to the UK and made preparations for " Pointless Relationship ", to be released as her international debut.
Lead singer Skip Candelori and guitarist Jay Laughlin previously formed Moorestown, New Jersey-based Pointless.
In 1993 they released two EPs on Cherry Red Records, " Crate " and " Pull Thru Barker ", followed in 1994 by the single " Doorstop Rhythmic Bloc " and album Pointless Walks to Dismal Places, which won critical acclaim.
* Gerla, G., 1995, " Pointless Geometries ," in Buekenhout, F., Kantor, W.
*" Pointless Relationship " for Australian singer Tammin Sursok's album, Whatever Will Be.
In Unix computing, PLWM ( The Pointless Window Manager ) is a Python package, containing classes suitable for implementing an X window manager, and also a window manager created using the PLWM package.
Rodrigo Lopresti composed " Seen as None ," and " Pointless Ride.
Pointless Nostalgic is Jamie Cullum's second album but his first major release on a record label.
as revealed by his brother Richard Osman on Pointless on 17 August 2011.
and co-presents the BBC daytime quiz show Pointless.
Celli has conducted much work in the field of experimental music, both as a performer and presenter, and has worked with Jin Hi Kim, John Cage, Ornette Coleman, Phill Niblock, Alvin Curran, Pointless Orchestra, Roberto Carnevale and the Kronos Quartet.
It features Amtrak's classic " Pointless Arrow " logo on the silver flanks surrounded by the dates 1971 and 2011.
In the 2002 Top Gear Awards it won the Most Pointless Car for being, as Richard Hammond described it, " a Ford Fiesta, in a hat.
In 2011 he also made an appearance on the BBC show Pointless alongside his BBC Breakfast co-presenter Sian Williams, which they won raising money for charity.

topology and then
* 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.
If E / F is a Galois extension, then Gal ( E / F ) can be given a topology, called the Krull topology, that makes it into a profinite group.
If F is equipped with the order topology arising from the total order ≤, then the axioms guarantee that the operations + and * are continuous, so that F is a topological field.
For compact space | compact 2-dimensional surfaces without boundary ( topology ) | boundary, if every loop can be continuously tightened to a point, then the surface is topologically Homeomorphism | homeomorphic to a 2-sphere ( usually just called a sphere ).
At the beginning of the 20th century, Henri Poincaré was working on the foundations of topology — what would later be called combinatorial topology and then algebraic topology.
If N is a closed normal subgroup of a profinite group G, then the factor group G / N is profinite ; the topology arising from the profiniteness agrees with the quotient topology.
The function N is called a neighbourhood topology if the axioms below are satisfied ; and then X with N is called a topological space.
is a continuous map from a closed subset A of X into the real numbers carrying the standard topology, then there exists a continuous map
More generally, if F is a subset of the algebraic dual space, then the initial topology of X with respect to F, denoted by σ ( X, F ), is the weak topology with respect to F.
If one takes F to be the whole continuous dual space of X, then the weak topology with respect to F coincides with the weak topology defined above.
If the field K has an absolute value, then the weak topology σ ( X, F ) is induced by the family of
Specifically, if F is a vector space of linear functionals on X which separates points of X, then the continuous dual of X with respect to the topology σ ( X, F ) is precisely equal to F.
If X is equipped with the weak topology, then addition and scalar multiplication remain continuous operations, and X is a locally convex topological vector space.
An important fact about the weak * topology is the Banach – Alaoglu theorem: if X is normed, then the closed unit ball in X * is weak *- compact ( more generally, the polar in X * of a neighborhood of 0 in X is weak *- compact ).
If a normed space X is separable, then the weak -* topology is metrizable.
For instance, if Y is a normed space, then this topology is defined by the seminorms indexed by x ∈ X:
More generally, if a family of seminorms Q defines the topology on Y, then the seminorms p < sub > q, x </ sub > on L ( X, Y ) defining the strong topology are given by

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