I have a webpage on my university's server, which means I cannot access the root directory and change files there.
Is there some other way to give access to robots to my page?
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you can set the meta tag:
<meta name="robots" content="all">
or you can go to Google AddUrl and add your URL to Google. But when you have no good content on your site you don't get so much site so the index. In the last time its very important to place sites to google in a good position.
Before you should read some things about SEO optimizing.