Question:
With no EIRUV, can a person wear a handkerchief or undershirt (new or old) around one’s neck on Shabbos to absorb sweat winter or summer?
Answer:
If the person is wearing the handkerchief or undershirt as a garment to keep him warm or absorb sweat he can wear it even if there is no eruv.
Sources:
O:CH 301 Mishnah Berurah 133, Aruch Hashulchon ibid:48.