Now we have to get /boot/lfskernel to the Mac OS side so we can boot our LFS system. There are a few ways to copy the /boot/lfskernel file to the Linux kernel folder on the Mac OS side.
The easiest way is be to mount a Mac HFS partition under Linux and copy the kernel to that partition in the right folder. The Linux kernel currently does not support the HFS+ partition, do do not attempt to mount a Mac HFS+ (also known as HFS Extended) partition under Linux.
Copy the kernel to your Mac HFS partition by running the following commands:
root:~# mkdir /mnt/exchange
root:~# mount -t hfs /dev/sda1 /mnt/exchange
root:~# cp /boot/lfskernel /mnt/exchange
root:~# umount /dev/sda1
Of course, replace /dev/sda1 by your Mac partition's designation.
If you can't mount the Mac partition for some reason (for example because it's a HFS+ partition) you'll have to email the kernel to yourself. Use a shell on your normal Linux's system (not the the chroot'ed environment) to obtain the kernel image. Compress it with gzip and attach it to an email. Boot into your MacOS and download the email. You can use the MacGzip application to ungzip the kernel image and move it to the "Linux Kernels" folder under "System Folder". If you don't have MacGzip installed, you can download it from http://macinsearch.com/infomac/cmp/mac-gzip-111.html
Of course, if the kernel is small enough to fit on a floppy disk, and your Mac has a floppy drive, you can transfer it that way. Of if you have a ZIP drive at your disposal, you can transfer it on that medium.