In fact he had been invited by Lefschetz to join the Faculty at Princeton but only on the condition that he gave up topology which Lefschetz at this time seemed to consider as having little future. Bing declined preferring the offer from Wisconsin.
Sa katunayan niya ay inimbitahan ng Lefschetz na sumali sa Faculty sa Princeton ngunit lamang sa mga kondisyon na siya gave up topology na kung saan Lefschetz sa oras na ito seemed na isaalang-alang bilang pagkakaroon ng maliit na hinaharap. Bing tinanggihan preferring ang alok mula sa Wisconsin.