Ask the Chatbot Games & Quizzes ProCon History & Society Science & Tech Biographies Animals & Nature Geography & Travel Arts & Culture Money Videos
topological equivalence
Directory
References
Discover
A human Inuit skull in a stone chambered cairn in Ilulissat in Greenland. These ancient graves are pre christian and are at least 2000
14 Tough Questions Answered
Super Typhoon Noru over the western tropical Pacific Ocean as observed by the Moderate Resolution Imaging Spectroradiometer (MODIS) on NASA Aqua satellite July 31 2017
What Is the Difference Between a Typhoon and a Super Typhoon?
Rural Irish landscape, Sligo, Ireland.
Why Is Ireland Two Countries?
A Factory Interior, watercolor, pen and gray ink, graphite, and white goache on wove paper by unknown artist, c. 1871-91; in the Yale Center for British Art. Industrial Revolution England
Inventors and Inventions of the Industrial Revolution
Thanksgiving Turkey with all the sides
Why Do We Eat Turkey on Thanksgiving?
Diverse elementary school children wearing school uniforms running outside of school. Boys girls
Pro and Con: School Uniforms
Iraqi Army Soldiers from the 9th Mechanized Division learning to operate and maintain M1A1 Abrams Main Battle Tanks at Besmaya Combat Training Center, Baghdad, Iraq, 2011. Military training. Iraq war. U.S. Army
8 Deadliest Wars of the 21st Century

topological equivalence

Learn about this topic in these articles:

major reference

  • Because both a doughnut and a coffee cup have one hole (handle), they can be mathematically, or topologically, transformed into one another without cutting them in any way. For this reason, it has often been joked that topologists cannot tell the difference between a coffee cup and a doughnut.
    In topology: Topological equivalence

    The motions associated with a continuous deformation from one object to another occur in the context of some surrounding space, called the ambient space of the deformation. When a continuous deformation from one object to another can be performed in a particular ambient…

    Read More

homeomorphism

  • In homeomorphism

    Two spaces are called topologically equivalent if there exists a homeomorphism between them. The properties of size and straightness in Euclidean space are not topological properties, while the connectedness of a figure is. Any simple polygon is homeomorphic to a circle; all figures homeomorphic to a circle are called…

    Read More