Am writing trave guide on Budapest but I checked and saw that the word Budapest is live/ registered. But on Amazon I saw Budapest travel guide and since it has a low competition I decided to write on it. Am I safe?

When writing a travel guide on Budapest, it's important to consider a few factors regarding copyright and trademark issues:

**Title and Content**: The phrase "Budapest Travel Guide" is a descriptive title that many authors might use, especially when writing about travel to Budapest. As long as your content is original and not copied from other sources, you should be safe. 

**Trademark Registration**: If "Budapest" is registered as a trademark, that usually relates to specific goods or services. In most cases, city names are not trademarked in ways that would prevent others from using them descriptively (like in “Budapest Travel Guide”). However, you should verify whether "Budapest" is trademarked in a way that could affect your use.

**Book Metadata**: When listing your book on platforms like Amazon, ensure you're not infringing on any trademarks in your book description or keywords. 

**Competition and Originality**: Having low competition is beneficial, but focus on creating valuable, unique content. Highlight your distinct perspective or insights about Budapest to make your travel guide stand out.

**Legal Advice**: If you have specific concerns, consider consulting a legal expert or a copyright attorney to ensure that you're on safe ground.

Overall, as long as your content is original and you're not using any trademarked logos or branding, you should be fine producing a travel guide on Budapest.