Mathematics · Topology
Which of the following statements is true for topological spaces?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1The intersection of any two connected subsets of ℝ with the usual topology is always connected.
- 2If f : X → Y is continuous and one-to-one, and Y is Hausdorff, then X is Hausdorff.✓
- 3Any continuous image of a Hausdorff topological space is Hausdorff.
- 4Any compact topological space is metrizable.
Correct answer
If f : X → Y is continuous and one-to-one, and Y is Hausdorff, then X is Hausdorff.
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