Here is a snippet to output the current categories of a post in the Post Archive or on your single Post:-
<?php
$categories = get_the_category();
$separator = ', ';
$output = '';
if($categories){
foreach($categories as $category) {
$output .= '<a href="'.get_category_link( $category->term_id ).'" title="' . esc_attr( sprintf( __( "View all posts in %s" ), $category->name ) ) . '">'.$category->cat_name.'</a>'.$separator;
}
echo trim($output, $separator);
}
?>
This displays the posts with a link to the category archive delimited by a comma – edit line 3 to update the separator which is trimmed off on the last category,
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