Joshua ben Alexander HaCohen Falk was a posek and Talmud scholar. He learned with his relative Moses Isserles and with Solomon Luria, and later became the head of the Yeshiva of Lemberg. He is best known for his works Beit Yisrael, a commentary on Arba'ah Turim, and Sefer Me'irat Einayim (SM"A) on Shulchan Aruch.
Works on Sefaria
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