Recently, I have been learning about olfaction. To my surprise, I am having a heck of a time finding explicit information regarding which neurons' axons are comprising the olfactory nerve. I am aware that there are several cells types that are relevant in the olfactory bulb: mitral cells, olfactory sensory neurons, tufted cells, and many more. However, I have not been able to find any source that definitively states from which neuron type the projections that comprise the olfactory nerve arise from.
I keep seeing articles that seem to imply olfactory sensory neurons comprise the olfactory nerve, but this doesn't seem right to me. My understanding is that the projections that emanate from the olfactory bulb and terminate in the brain constitute the olfactory nerve. The only thing I can think of is that the "olfactory bulb" is actually being considered "part of the brain"...in which case, the olfactory sensory neurons are technically peripheral neurons.
If that is the case, what exactly are the olfactory bulbs? Are they part of the telencephalon? Are they an outgrowth similar to how the optic nerves are outgrowths of the telencephalon and therefore not "true nerves"?