Categories

See More
Popular Forum

MBA (4887) B.Tech (1769) Engineering (1486) Class 12 (1030) Study Abroad (1004) Computer Science and Engineering (988) Business Management Studies (865) BBA (846) Diploma (746) CAT (651) B.Com (648) B.Sc (643) JEE Mains (618) Mechanical Engineering (574) Exam (525) India (462) Career (452) All Time Q&A (439) Mass Communication (427) BCA (417) Science (384) Computers & IT (Non-Engg) (383) Medicine & Health Sciences (381) Hotel Management (373) Civil Engineering (353) MCA (349) Tuteehub Top Questions (348) Distance (340) Colleges in India (334)
See More
( 6 months ago )

Indiscreet topology on quotient space

Course Queries Syllabus Queries
Max. 2000 characters
Replies

usr_profile.png
Jadav Payeng

User

( 6 months ago )

I'm studying basical topology and I can't figure out something. In a syllabus I read, it is written "Let RRbe a topological space with the euclidian topology. We can define an equivalence relation such that xyxyQx∼y⇔x−y∈Q". Moreover it is said that "the quotient topology on R/R/∼ is the indiscreet topology" but I can' figure out how to prove it.

I tried to prove that any subset (except the empty set) of R/R/∼ is close but without information about the topology it seems hard.

Can anyone have an hint?

Thanks!

what's your interest


forum_ban8_5d8c5fd7cf6f7.gif