AppleScript: Open a new window in current space without switching to active window in another space

Some applications have an action for opening a new window in their Dock context menu.

Other options for different applications:

tell application "TextEdit"
    make new document
    activate
end tell

tell application "Safari"
    make new document at end of documents with properties {URL:"http://g.co"}
    activate
end tell

tell application "Terminal"
    do script ""
    activate
end tell

tell application "System Events" to tell process "iTerm"
    click menu item "New Window" of menu "Shell" of menu bar 1
    set frontmost to true
end tell

tell application "Google Chrome"
    make new window
    activate
end tell