Data set of manuscript entiteld Sigma Oscillations Protect or Reinstate Motor Memory Depending on their Temporal Coordination with Slow Waves EEG files : Brainvision *.dat; *.edf : eeg files of the experimental nap *.vhdr: corresponding header files *.vmrk: corresponding marker files time starting from recording sample *._Pauselog.txt: markers with condition in the stimulation computer time Sleep Scores: Scores by the sleep technician (one file per participants). Surveys: General survey (first screening - S1) and complete survey (for inclusion - S2). Name of the file corresponds to participant code in the experiment and anonymous code correspondance for inclusion. BehavData: For each participant, a text file with all the cues and responses logged for each tasks. *_raw.txt are present when an issue arised during experiment and a task needed to be re-started.