Mathematics · Topology
Let A, B, and C be topological spaces such that A is homeomorphic to B, B is a subspace of C, and the closure of B in C equals C (B is dense in C). Let C be homeomorphic to a subspace W of A. Which of the following statements is TRUE?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1If A is connected, then B and C are connected.✓
- 2If C is compact, then A, B, and C must be homeomorphic.
- 3The spaces B, W, and C are always homeomorphic.
- 4The spaces B, W̅, and C are always homeomorphic.
Correct answer
If A is connected, then B and C are connected.
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Topology MCQs →Want more practice questions on Topology?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Topology