SELinux is preventing /usr/libexec/gdm-session-worker from 'write' accesses on the directory /space/home/<username>.

*****  Plugin catchall_labels (83.8 confidence) suggests  ********************

If you want to allow gdm-session-worker to have write access on the schulze directory
Then you need to change the label on /space/home/<username>
Do
# semanage fcontext -a -t FILE_TYPE '/space/home/<username>'
where FILE_TYPE is one of the following: var_lib_t, var_run_t, xdm_tmp_t, faillog_t, var_log_t, xdm_log_t, gnome_home_type, pam_var_run_t, xdm_var_lib_t, xdm_var_run_t, gconf_home_t, pcscd_var_run_t, xkb_var_lib_t, xdm_rw_etc_t, xdm_home_t, pam_var_console_t, cgroup_t, var_lock_t, user_home_dir_t, root_t, tmp_t, var_t, locale_t, var_auth_t, tmpfs_t, user_fonts_t, user_tmpfs_t, xdm_spool_t, fonts_cache_t, user_tmp_t, auth_cache_t, xdm_tmpfs_t, var_spool_t, xserver_log_t, tmp_t. 
Then execute: 
restorecon -v '/space/home/<username>'


*****  Plugin catchall (17.1 confidence) suggests  ***************************

If you believe that gdm-session-worker should be allowed write access on the <username> directory by default.
Then you should report this as a bug.
You can generate a local policy module to allow this access.
Do
allow this access for now by executing:
# grep gdm-session-wor /var/log/audit/audit.log | audit2allow -M mypol
# semodule -i mypol.pp

Additional Information:
Source Context                system_u:system_r:xdm_t:s0-s0:c0.c1023
Target Context                system_u:object_r:default_t:s0
Target Objects                /space/home/<username> [ dir ]
Source                        gdm-session-wor
Source Path                   /usr/libexec/gdm-session-worker
Port                          <Unbekannt>
Host                          (removed)
Source RPM Packages           gdm-3.0.0-3.fc15
Target RPM Packages           
Policy RPM                    selinux-policy-3.9.16-26.fc15
Selinux Enabled               True
Policy Type                   targeted
Enforcing Mode                Enforcing
Host Name                     (removed)
Platform                      Linux (removed) 2.6.38.6-27.fc15.i686 #1 SMP Sun May
                              15 17:57:13 UTC 2011 i686 i686
Alert Count                   2
First Seen                    Fr 03 Jun 2011 21:42:47 CEST
Last Seen                     Sa 04 Jun 2011 00:43:35 CEST
Local ID                      7d285823-f975-40fc-ac24-01407a70f5e8

Raw Audit Messages
type=AVC msg=audit(1307141015.644:107): avc:  denied  { write } for  pid=6619 comm="gdm-session-wor" name="<username>" dev=sdb1 ino=29147138 scontext=system_u:system_r:xdm_t:s0-s0:c0.c1023 tcontext=system_u:object_r:default_t:s0 tclass=dir


type=SYSCALL msg=audit(1307141015.644:107): arch=i386 syscall=open success=no exit=EACCES a0=9137f20 a1=80c2 a2=180 a3=15 items=0 ppid=6544 pid=6619 auid=500 uid=500 gid=500 euid=500 suid=500 fsuid=500 egid=500 sgid=500 fsgid=500 tty=(none) ses=6 comm=gdm-session-wor exe=/usr/libexec/gdm-session-worker subj=system_u:system_r:xdm_t:s0-s0:c0.c1023 key=(null)

Hash: gdm-session-wor,xdm_t,default_t,dir,write

audit2allow

#============= xdm_t ==============
#!!!! The source type 'xdm_t' can write to a 'dir' of the following types:
# var_spool_t, xserver_log_t, var_lib_t, var_run_t, xdm_tmp_t, faillog_t, var_log_t, xdm_log_t, gnome_home_type, pam_var_run_t, xdm_var_lib_t, xdm_var_run_t, gconf_home_t, pcscd_var_run_t, xkb_var_lib_t, xdm_rw_etc_t, xdm_home_t, pam_var_console_t, cgroup_t, var_lock_t, user_home_dir_t, root_t, tmp_t, var_t, locale_t, var_auth_t, tmpfs_t, user_fonts_t, user_tmpfs_t, xdm_spool_t, fonts_cache_t, user_tmp_t, auth_cache_t, xdm_tmpfs_t, tmp_t

allow xdm_t default_t:dir write;

audit2allow -R

#============= xdm_t ==============
#!!!! The source type 'xdm_t' can write to a 'dir' of the following types:
# var_spool_t, xserver_log_t, var_lib_t, var_run_t, xdm_tmp_t, faillog_t, var_log_t, xdm_log_t, gnome_home_type, pam_var_run_t, xdm_var_lib_t, xdm_var_run_t, gconf_home_t, pcscd_var_run_t, xkb_var_lib_t, xdm_rw_etc_t, xdm_home_t, pam_var_console_t, cgroup_t, var_lock_t, user_home_dir_t, root_t, tmp_t, var_t, locale_t, var_auth_t, tmpfs_t, user_fonts_t, user_tmpfs_t, xdm_spool_t, fonts_cache_t, user_tmp_t, auth_cache_t, xdm_tmpfs_t, tmp_t

allow xdm_t default_t:dir write;