As @Dan Bron points out in his comment, multiple discovery fits the bill perfectly.
Other terms that are sometimes used are simultaneous invention or independent invention. Frequency of occurrence in Google Search are:
Multiple discovery: 26,600
Simultaneous invention: 12,100
Independent invention: 69,900
In Google books:
Multiple discovery: 4,780
Simultaneous invention: 4,460
Independent invention: 33,500
See this Ngram. The figures for independent invention are possibly skewed because this term is used in patent law.
If you're looking for a better, more cool name, synchronicity might work:
the coincidental occurrence of events and especially psychic events (as similar thoughts in widely separated persons or a mental image of an unexpected event before it happens) that seem related but are not explained by conventional mechanisms of causality —used especially in the psychology of C. G. Jung
For added coolness (depending on your age :-)) it's also the title of a 1983 album by The Police.