I want all the nodes that have the attribute value equal to "monday".
All the rest I do not want.

How can I exclude all other nodes except attribute="monday"?
If I don't reference them, the built-in template rule outputs their text values.

Thanks

It would help if you included some example xml, and how do you want those nodes with the value="Monday" output.

Maybe you could use an Identity transform?

<xsl:template match="@*|node()">
  <xsl:copy>
    <xsl:apply-templates select="@*|node()[@value='Monday']"/>
  </xsl:copy>
</xsl:template>