  It is well-known that biological phenomena are emergent. Emergent phenomena
are quite interesting and amazing. However, they are difficult to be
understood. Due to this difficulty, we propose a theory to describe emergence
based on a powerful mathematical tool, namely, Theory of Categories. In order
to do this, we first utilize constructs (categories whose objects are
structured sets), their operations and their corresponding generalized
underlying functor (which are not necessary faithful) to characterize
emergence. After this, we introduce and show several results concerning
homomorphism (isomorphism) between emergences, representability, pullback,
pushout, equalizer, product and co-product of emergences among other concepts.
Finally, we explain how our theory fits in studies involving biological
systems.
