Answer to Question #5664 in Differential Geometry | Topology for Akhtar Rasoolmaths

Question #5664
Dear Expert sir what is a a topological property
1
Expert's answer
2011-12-15T06:31:40-0500
In topology and related areas of mathematics a topological property or topological invariant is a property of a topological space which is invariant under homeomorphisms. That is, a property of spaces is a topological property if whenever a space X possesses that property every space homeomorphic to X possesses that property. Informally, a topological property is a property of the space that can be expressed using open sets.

A common problem in topology is to decide whether two topological spaces are homeomorphic or not. To prove that two spaces are not homeomorphic, it is sufficient to find a topological property which is not shared by them.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

Assignment Expert
28.02.12, 15:15

Dear Akhtar You're welcome. We are glad to be helpful. If you really liked our service please press like-button beside answer field. Thank you!

Akhtar Rasool
26.02.12, 13:57

thank you so much.

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS