A chance event occurred in the spring of 1916 which was to have a major impact on Banach's life. Steinhaus, who had been undertaking military service, was about to take up a post at the Jan Kazimierz University in Lvov. However he was living in Kraków in the spring of 1916, waiting to take up the appointment.
Isang pagkakataon ng kaganapan ang naganap sa tagsibol ng 1916 na kung saan ay upang magkaroon ng isang malaking epekto sa Banach ng buhay. Steinhaus, na nai-pangako militar, ay tungkol sa mag-up ng isang post sa Jan Kazimierz University sa Lvov. Gayunman siya ay nakatira sa Krakow sa tagsibol ng 1916, naghihintay upang kunin ang appointment.