Correction to Sobolev functions on varifolds

Key Points

• This note aims to correct inaccuracies in the proof of Theorem 3.6 related to Sobolev functions on varifolds.
• Correction of the proof presented in the original paper.
• Review and analysis of Theorem 3.6.
• Clarification of mathematical arguments and steps.
• Identified errors in the original proof of Theorem 3.6.
• Provided revised arguments to support corrected results.