Path Connected Set | Real Analysis | Topology for CSIR NET, GATE, IIT JAM & University Exams

A path-connected set (or pathwise-connected) is a topological space where any two points within it can be joined by a continuous path that stays entirely within the set, meaning you can "walk" from any point to any other without lifting your pen or leaving the set. Path-connectedness is a stronger property than simple connectedness, as every path-connected space is connected, but not all connected spaces are path-connected. 👉 👉 Understand Path Connected Sets in Real Analysis for your CSIR NET, GATE, IIT JAM, IIT-JEE and University exams. This lecture explains the definition, intuition and exam-focused examples on path connectedness in metric and topological spaces. 🔗 Important Links : 📂 Real Analysis Complete Playlist Link    • Real Analysis | From Basics to Advanced   📂Next Video - Least Upper Bound and greatest Lower Bound -    • Least Upper Bound & Greatest Lower Bound |...   📂Previous Video - Types of Intervals -    • Types of Intervals and Their Properties in...   *Best for:* B.Sc / M.Sc Mathematics university students. CSIR NET / GATE / IIT JAM aspirants. IIT-JEE advanced math learners. Students revising Real Analysis and Topology for competitive and university exams. *Keywords / Tags:* path connected set, path connectedness, connected vs path connected, real analysis lecture, topology for CSIR NET, real analysis for GATE, IIT JAM mathematics, IIT JAM real analysis, CSIR NET maths topology, metric spaces lecture, path connected examples, connected set topology, real analysis university exam, topology university syllabus Like, Share and Subscribe Ganitya #realanalysis #pathconnectedset #ganitya #mathematics #bsc #engineeringmathematics #msc