Mirage is a powerful standalone java tool developed at Bell Labs for analysis of multidimensional data. It uses its own file format for input. TOPCAT can write tables in the input format which Mirage uses, so that you can prepare tables in TOPCAT and write them out for subsequent use by Mirage.
It is also possible in principle to launch Mirage directly from within TOPCAT, using the Export To Mirage item on the Control Window's File menu; this will cause Mirage to start up viewing the currently selected Apparent Table. In order for this to work the Mirage classes must be on your classpath (see Section 10.2.1) when TOPCAT is run.
There appears to be a bug in Mirage which means this does not always work - sometimes Mirage starts up with no data loaded into it. In this case you will have to save the data to disk in Mirage format, start up Mirage separately, and load the data in using the New Dataset item in Mirage's Console menu.
Note that when Mirage has been launched from TOPCAT, exiting Mirage or closing its window will exit TOPCAT as well.