I recently created a custom stylesheet. I then created a notebook with the new style, confirmed that the notebook had adopted the style, and then saved a copy in CDF. But when I opened the CDF in Wolfram's CDF Player, the style had not been applied to the document. Does this mean that CDFs are not able to adopt the style of the original notebook if the style comes from a custom stylesheet? How can I embed the style into cdf?
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I encountered no problems here. My system: Mathematica 8.0.4 WIN7. My workflow:
1) File > New > Notebook
2) Format > Edit Stylesheet... I applied new styles to Title, Subtitle and Section.
3) Enter your content in Mathematica notebook.
4) File > Deploy > Standalone... This will produce a CDF file with inherited styles.
Here is the snapshot of CDF file I created opened in Wolfram CDF Player - as you can see all styles are preserved:

Vitaliy Kaurov
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Manipulate&c) and the cell is opened then the interface disappears, forever it seems... I conclude that CDF Export is buggy and not the best way of creating CDF documents. This could be related to the specific stylesheet I was using or the version/OS, I've 9.01 on a Mac – fairflow Apr 27 '14 at 22:47