Difference between revisions of "Topology"

(Did a little bit of expansion, added to mathematics category.)
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'''Topology''' is a field of [[mathematics]] that can be considered an extension to [[geometry]]: It involves the study of space and its structure. "A topology" can also refer to specific kind of mathematical construct which satisfies certain axioms. Topology is often considered to be one of the cornerstones of what is colloquially known as "pure mathematics", i.e. mathematics studied in order to make mathematics more stable and powerful.
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'''Topology''' is a field of [[mathematics]] that can be considered an extension to [[geometry]]: It involves the study of space and its structure. The word "topology" also denotes a [[topological space]], a specific kind of mathematical construct that satisfies certain axioms. Topology is often considered one of the cornerstones of pure mathematics.
  
 
==Important Concepts==
 
==Important Concepts==
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*[[Homeomorphism]]
 
*[[Homeomorphism]]
 
*[[Diffeomorphism]]
 
*[[Diffeomorphism]]
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==See Also==
 
==See Also==
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*[[Graph theory]]
 
*[[Graph theory]]
 
*[[Geometry]]
 
*[[Geometry]]

Revision as of 12:59, 21 June 2008

Topology is a field of mathematics that can be considered an extension to geometry: It involves the study of space and its structure. The word "topology" also denotes a topological space, a specific kind of mathematical construct that satisfies certain axioms. Topology is often considered one of the cornerstones of pure mathematics.

Important Concepts

See Also

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