We aim at studying with high angular resolution a dense core associated with a low-luminosity IRAS source, IRAS 00213+6530, in order to investigate whether low mass star formation is really taking place in isolation. We performed observations at 1.2mm with the IRAM 30m telescope, VLA observations at 6cm, 3.6cm, 1.3cm, 7mm, and H2O maser and NH3 lines, and observations with the NASA 70m antenna in CCS and H2O maser. The cm and mm continuum emission, together with the near infrared data from the 2MASS allowed us to identify 3 YSOs, IRS1, VLA8A, and VLA8B, with different radio and infrared properties, and which seem to be in different evolutionary stages. The NH3 emission consists of three clouds. Two of these, MM1 and MM2, are associated with dust emission, while the southern cloud is only detected in NH3. The YSOs are embedded in MM1, where we found evidence of line broadening and temperature enhancements. On the other hand, the southern cloud and MM2 appear to be quiescent and starless. We modeled the radial intensity profile at 1.2mm of MM1. The model fits reasonably well the data, but it underestimates the intensity at small projected distances from the 1.2mm peak, probably due to the presence of multiple YSOs embedded in the envelope. There is a differentiation in the relative NH3 abundance with low values, ~2x10^-8, toward MM1, and high values, up to 10^-6, toward the southern cloud and MM2, suggesting that these clouds could be in a young evolutionary stage. IRAS 00213+6530 is harboring a multiple system of low-mass protostars, indicating that star formation in this cloud is taking place in groups, rather than in isolation. The low-mass YSOs found in IRAS 00213+6530 are in different evolutionary stages suggesting that star formation is taking place in different episodes.
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