what is an Injective function from A to B when A=$P(\mathbb N)$ B=$\{T⊆N|∀S⊆T.|T|<א_0→\sum_{x∈S} x≠\sum_{x∈T/S} x\}$?

what is an Injective function from A to B when

A=$$P(\mathbb N)$$

B=$$\{T⊆N|∀S⊆T.|T|<א_0→\sum_{x∈S} x≠\sum_{x∈T/S} x\}$$ ?