Fake 4-ball

Fake 4-ball

In mathematics, a fake 4-ball is a compact contractible topological 4-manifold. Michael Freedman proved that every three-dimensional homology sphere bounds a fake 4-ball. His construction involves the use of Casson handles and so does not work in the smooth category.

References

*Alexandru Scorpan, "The Wild World of 4-Manifolds", American Mathematical Society, ISBN 0-8218-3749-4


Wikimedia Foundation. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • Fake (American Football) — Ein Fake im American Football (englisch für Fälschung od. Täuschung) ist eine angetäuschte Ballübergabe oder ein angetäuschter Pass. Fakes werden im Rahmen der Angriffsstrategie genutzt, um Stellungsfehler in der Verteidigung zu schaffen bzw.… …   Deutsch Wikipedia

  • Fake projective plane — For Freedman s example of a non smoothable manifold with the same homotopy type as the complex projective plane, see 4 manifold. In mathematics, a fake projective plane (or Mumford surface) is one of the 50 complex algebraic surfaces that have… …   Wikipedia

  • fake — fake1 [feık] n 1.) a copy of a valuable object, painting etc that is intended to deceive people ▪ The painting was judged a fake. ▪ Jones can spot a fake from 20 feet away. 2.) someone who is not what they claim to be or does not have the skills… …   Dictionary of contemporary English

  • fake — 1 noun (C) 1 a copy of a valuable object, painting etc that is intended to deceive people: We thought it was a genuine antique, but it was only a fake. 2 someone who is not what they claim to be or does not have the skills they say they have: He… …   Longman dictionary of contemporary English

  • List of Dragon Ball episodes — First volume of the Dragon Ball DVD series, released by Toei Entertainment on April 4, 2007 Dragon Ball is the first in a trilogy of anime adaptations of the Dragon Ball manga series by Akira Toriyama. Produced by Toei Animation, the anime series …   Wikipedia

  • Wall Ball — Wall Ball, also called Ball Wall, Butts Up, Suicide, Patball, Off the Wall, Thumb, Red Butt, Ball to the Wall(Some Difference Edis), One Touch or Wallsies is a type of ball game involving a group which involves the bouncing of a ball against a… …   Wikipedia

  • Poké Ball — The nihongo|Poké Ball|モンスターボール|Monsutābōru|Monster Ball in original Japanese language versions is a spherical in the Pokémon video games and anime television series that is used by Pokémon Trainers to capture new Pokémon and store them when not… …   Wikipedia

  • List of Dragon Ball GT episodes — First Dragon Ball GT DVD volume, released in Japan by Toei Animation on February 6, 2008 Dragon Ball GT is the final anime series in the Dragon Ball franchise and a sequel show to the Dragon Ball Z anime series.[1] Produced by Toei Animation, the …   Wikipedia

  • Dyin' 2 Ball — Studio album by Spice 1 Released January 25, 2005 …   Wikipedia

  • pump-fake — verb To pretend to throw or shoot the ball in order to make a defender react The way he pump fakes it in the Oval Office is really distracting …   Wiktionary

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”