To identify the correct statements about \( \text{Mn} \) and \( \text{Mn}_2\text{O}_7 \), we evaluate each given statement:
- **Statement A**: "Mn forms the oxide \( \text{Mn}_2\text{O}_7 \), in which Mn is in its highest oxidation state." - In \( \text{Mn}_2\text{O}_7 \), each Mn is in the +7 oxidation state, which is indeed the highest oxidation state known for manganese. Therefore, statement A is correct.
- **Statement B**: "Oxygen stabilizes the Mn in higher oxidation states by forming multiple bonds with Mn." - Oxygen can form multiple bonds with manganese, such as double bonds, which help to stabilize Mn in its higher oxidation states. Therefore, statement B is correct.
- **Statement C**: "\( \text{Mn}_2\text{O}_7 \) is an ionic oxide." - \( \text{Mn}_2\text{O}_7 \) is actually a covalent compound, not an ionic one. The structure involves covalent bonding between Mn and O atoms. Therefore, statement C is incorrect.
- **Statement D**: "The structure of \( \text{Mn}_2\text{O}_7 \) consists of one bridged oxygen." - The structure of \( \text{Mn}_2\text{O}_7 \) includes an Mn-O-Mn linkage, which involves a bridged oxygen atom between the two manganese atoms. Therefore, statement D is correct.
Based on the analysis above, the correct statements are A, B, and D. Hence, the correct answer is:
A, B and D Only
Conclusion: The statements that accurately describe the properties and structure of \( \text{Mn}_2\text{O}_7 \) are related to its high oxidation state, oxygen's role in stabilizing the compound, and the presence of a bridged oxygen in its structure.