def METHOD_NAME(arch: str) -> List[str]:
    arches = [arch]
    arch_prefix, arch_sep, arch_suffix = arch.partition("_")
    if arch_prefix == "manylinux2014":
        # manylinux1/manylinux2010 wheels run on most manylinux2014 systems
        # with the exception of wheels depending on ncurses. PEP 599 states
        # manylinux1/manylinux2010 wheels should be considered
        # manylinux2014 wheels:
        # https://www.python.org/dev/peps/pep-0599/#backwards-compatibility-with-manylinux2010-wheels
        if arch_suffix in {"i686", "x86_64"}:
            arches.append("manylinux2010" + arch_sep + arch_suffix)
            arches.append("manylinux1" + arch_sep + arch_suffix)
    elif arch_prefix == "manylinux2010":
        # manylinux1 wheels run on most manylinux2010 systems with the
        # exception of wheels depending on ncurses. PEP 571 states
        # manylinux1 wheels should be considered manylinux2010 wheels:
        # https://www.python.org/dev/peps/pep-0571/#backwards-compatibility-with-manylinux1-wheels
        arches.append("manylinux1" + arch_sep + arch_suffix)
    return arches