quotient topology

Also found in: Wikipedia

0.02 sec.

quotient topology [′kwō·shənt tə′päl·ə·jē]

(mathematics)

IfXis a topological space,X/Rthe quotient space by some equivalence relation onX, the quotient topology onX/Ris the smallest topology which makes the function which assigns to each element ofXits equivalence class inX/Ra continuous function.

How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content.

?Page tools

Printer friendly
Cite / link

Email
Feedback

? Mentioned in

No references found

Encyclopedia browser

? Full browser

quotient
quotient field
quotient group
quotient ring
quotient rule
quotient set
quotient space
quotient topology
Qur'an
Quraysh
qurra
Qusayr, Al
Qutb Minar
Qutb, Sayyid
Quty

Encyclopedia

Free Tools:	For surfers: Free toolbar & extensions \| Word of the Day \| Help For webmasters: Free content \| Linking \| Lookup box \| Double-click lookup \| Partner with us

All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional. Terms of Use.