In mathematics, more specifically in general topology and related branches, a net or Moore–Smith sequence is a generalization of the notion of a sequence. In essence, a sequence is a function with domain the natural numbers, and in the context of topology, the codomain of this function is usually any topological space. However, in the context of topology, sequences do not fully encode all information about a function between topological spaces. In particular, the following two conditions are not equivalent in general for a map f between topological spaces X and Y:
It is true, however, that condition 1 implies condition 2. The difficulty encountered when attempting to prove that condition 2 implies condition 1 lies in the fact that topological spaces are, in general, not first-countable.
If the first-countability axiom were imposed on the topological spaces in question, the two above conditions would be equivalent. In particular, the two conditions are equivalent for metric spaces.
O2 was formed in 1985 as Cellnet, a 60:40 joint venture between BT Group and Securicor. In 1999, BT Group acquired Securicor's 40 percent share of Cellnet and the company was later rebranded as BT Cellnet. In June 2000 BT Cellnet launched the world’s first commercial General Packet Radio Service. BT Cellnet, together with BT Group's mobile telecommunications businesses in Germany, Ireland and the Netherlands were part of the BT Wireless division. This was spun off from the BT Group in 2002 to form a new holding company, mmO2 plc, which introduced the new "O2" brand for the businesses. mmO2 plc was subsequently renamed O2 plc.
O2 plc was purchased by the Spanish telecommunications company Telefónica in 2005 for £18billion. Under the terms of the acquisition, Telefónica agreed to retain the "O2" brand and the company's UK headquarters. O2 plc became Telefónica Europe.
Africa is a 1930 Walter Lantz cartoon short featuring Oswald the Lucky Rabbit.
Oswald was riding through the Egyptian desert on his camel. The camel, though looking real on the exterior, is actually mechanical because of the two ball-shaped pistons inside which Oswald manipulates with his feet like bike pedals. One day, a lion was running toward them. To defend himself, Oswald brought out a rifle but it malfunctioned. As a final resort, Oswald fired the ball pistons from the camel like a cannon and aimed into the lion's mouth. Terrified by its lumpy back, the lion runs away in panic.
Nearby where he is, Oswald saw an oasis and a palace. Upon seeing the apes dance and play instruments, the curious rabbit decides to join the fun. As he entered the palace, Oswald was greeted by the queen. The queen asked him who he is, and Oswald introduced himself in a song as well as giving advice for a possibly better lifestyle. Pleased by his visit, the queen asked Oswald if he would like to be her king. Oswald was at first uncertain, knowing he never met a queen, but immediately accepted. It turns out momentarily that the queen still has a king who shows up then throws Oswald out of the palace and into a pond full of crocodiles. Luckily, Oswald escapes unscathed and runs off into the desert.
Mother is the first solo studio album by American singer Natalie Maines, best known as the lead vocalist of the Dixie Chicks. It was released on May 7, 2013.
Mother is Natalie Maines' first album since the Dixie Chicks' Grammy-sweeping Taking the Long Way in 2006, and comes ten years after the Dixie Chicks were boycotted and banned by country radio for Maines' criticism of U.S. President George W. Bush in 2003. In her seven-year absence from the recording industry, Maines expressed a lack of interest in modern country music.
In June 2012, Maines announced the project on a Howard 100 News broadcast, stating, "I'm making an album, I think." On October 6, she confirmed on Twitter that it would be a rock album, and her first without the Dixie Chicks. Recording completed on December 19. It will include both original music and covers.
Mother is the debut album of British band Kubb. It was released on 14 November 2005 in the UK on the Mercury Records label. It reached a peak of #26 the week of 13 February 2006. The album was never released in the US, although some versions have surfaced stateside (these versions removed the track "Bitch," bringing the album down to 11 tracks).