Top (category theory)

In category theory, Top is used in at least two senses:

  1. the category with topological spaces as objects and continuous maps as morphisms.
  2. the category with topological manifolds as objects and continuous maps as morphisms. Compare Diff and PL. For a detailed study of Top in this sense (and its relations with the other categories of manifolds), see 
  • Kirby, Robion C.; Siebenmann, Laurence C. (1977). Foundational Essays on Topological Manifolds. Smoothings, and Triangulations. Princeton, New Jersey: Princeton University Press. ISBN 0-691-08190-5.

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In the News

Researchers Discover New Route To Hemoglobin Synthesis
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[Ironic] Professional beggars prowling about the streets of Moroccan c
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Accumulated Lead Exposure May Be An Important Risk Factor For Cataract
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Researchers Discover Genetic Switch Involved In Cells' Response To Rad
UC Davis Cancer Center researchers have discovered a genetic switch that causes cancer cells to become more sensitive to a drug administered to enhance radiation therapy effectiveness.

Federal Bureau of Investigation: Organized Crime
Background and updates about organized crime, with an overview of the FBI's organized crime program, news and issues, details about specific investigations, and a brief glossary. Includes material about Italian organized crime (Sicilian Mafia, Camorra or Neapolitan Mafia, 'Ndrangheta or Calabrian Mafia, Sacra Corona Unita or United Sacred Crown, and American La Cosa Nostra), Eurasian organized crime, Asian and African criminal enterprises, and sports bribery. From the Federal Bureau of Investigation (FBI).

The Shape Of Health To Come: Customized Fitness Program Helps Endometr
While millions of Americans place fitness as one of their top New Year's resolutions to improve shape, muscle tone and overall appearance, cancer survivors have another priority -- life. Researchers at The University of Texas M. D. Anderson Cancer Center have developed a customized fitness program to help survivors of endometrial cancer - or cancer of the uterus - shed pounds and keep cancer at bay.

Armed Robots to March Into Battle
December 2004 article from the U.S. Department of Defense (DOD) about how "soldiers may have armed robots as battle buddies by early [2005]."The article provides images and brief information about the Special Weapons Observation Reconnaissance Detection System (or SWORDS) robots, which consist of a "weapons platform mounted on a Talon robot."

[Scary] Pregnant woman says 'maternal instinct' helped her kill attack
FORT MITCHELL, Ky. - A pregnant woman who killed her attacker said a maternal instinct helped her fight off the woman who investigators believe was after her unborn child."I do believe that I fought harder because it was for my child,"Sarah Brady told ABC's "Good Morning America"in interviews aired Sunday and Monday. "It is a maternal instinct to protect your child to the very end."Katherine Smith, 22, died Thursday after luring Brady to her apartment to pick up a package supposedly delivered to the wrong address. When Smith pulled out a knife and attacked the pregnant woman, Brady fought back, striking Smith on the head with an ash tray and stabbing her three times with her own knife, police said. Brady, 26, said she didn't know Smith before the two met at Smith's apartment and can't be certain why Smith wanted to kill her."I really am not sure what was going through her mind,"Brady told ABC. "The only thing I thought was that she was going to kill me and my child and that is the only thing that ran through my mind."

March Of The Giant Penguins: Prehistoric Equatorial Penguins Reached 5
Two heretofore undiscovered penguin species -- one of which was over 5 feet tall -- reached equatorial regions tens of millions of years earlier than expected and during a period when the earth was much warmer than it is now.

[Scary] Pregnant woman says 'maternal instinct' helped her kill attack
FORT MITCHELL, Ky. - A pregnant woman who killed her attacker said a maternal instinct helped her fight off the woman who investigators believe was after her unborn child."I do believe that I fought harder because it was for my child,"Sarah Brady told ABC's "Good Morning America"in interviews aired Sunday and Monday. "It is a maternal instinct to protect your child to the very end."Katherine Smith, 22, died Thursday after luring Brady to her apartment to pick up a package supposedly delivered to the wrong address. When Smith pulled out a knife and attacked the pregnant woman, Brady fought back, striking Smith on the head with an ash tray and stabbing her three times with her own knife, police said. Brady, 26, said she didn't know Smith before the two met at Smith's apartment and can't be certain why Smith wanted to kill her."I really am not sure what was going through her mind,"Brady told ABC. "The only thing I thought was that she was going to kill me and my child and that is the only thing that ran through my mind."


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