The phrase in 1900 Europeans believed the world was their oyster The world was theirs for the taking.
Inference in any literature piece refers to achieving the conclusion of any subject with the support of facts and evidence present in the particular piece of literature.
The phrase in 1900 indicates that the Europeans thought they controlled the world and can do anything they wished with it. They believed that they would be capable of controlling the world and other countries that weren't as strong as European countries.
In a manner, when someone says to you, "The world is your oyster," they are telling you that anything is available for you on this planet. You can move around and go wherever you want without any restrictions.
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Some Asians viewed the Japanese as liberators against European Imperialism. Some countries like India viewed the Japanese in this way. In reality, the Japanese persecuted many of the countries under their control. Many human rights abuses were made and that is why some captured officers were tried and executed.