As MarvinLabs pointed out, it’s a set of drawables in the Android SDK. They can be overridden though.
Find these images in your sdk platform:
Copy them over to your drawables folder, so you have a local copy to reference. You can change the colors of these, make them empty, or whatever you want. Note that this as MarvinLabs said, it might not be wise to remove them completely because they help the user select text for cutting and copying.
If you don’t have a custom theme yet defined in your styles.xml, define one. Then add these items to it:
<style name="CustomTheme" parent="@android:style/Theme.Holo.Light"> <item name="android:textSelectHandleLeft">@drawable/text_select_handle_left</item> <item name="android:textSelectHandleRight">@drawable/text_select_handle_right</item> <item name="android:textSelectHandle">@drawable/text_select_handle_middle</item> </style>
(different EditTexts but you get the idea)