(i) The proceeding shall be brought in the court and county specified in the agreement. If the name of the county is not specified, proceedings to stay or bar arbitration shall be brought in the county where the party seeking arbitration resides or is doing business, and other proceedings affecting arbitration are to be brought in the county where at least one of the parties resides or is doing business or where the arbitration was held or is pending.

(ii) If there is no county in which the proceeding may be brought under paragraph (i) of this subdivision, the proceeding may be brought in any county.

(iii) Notwithstanding the entry of judgment, all subsequent applications shall be made by motion in the special proceeding or action in which the first application was made.

(iv) If an application to confirm an arbitration award made within the one year as provided by section seventy-five hundred ten of this article, or an application to vacate or modify an award made within the ninety days as provided by subdivision (a) of section seventy-five hundred eleven of this article, was denied or dismissed solely on the ground that it was made in the form of a motion captioned in an earlier special proceeding having reference to the arbitration instead of as a distinct special proceeding, the time in which to apply to confirm the award and the time in which to apply to vacate or modify the award may, notwithstanding that the applicable period of time has expired, be made at any time within ninety days after the effective date of this paragraph, and may be made in whatever form is appropriate (motion or special proceeding) pursuant to this subdivision.

(b) Limitation of time. If, at the time that a demand for arbitration was made or a notice of intention to arbitrate was served, the claim sought to be arbitrated would have been barred by limitation of time had it been asserted in a court of the state, a party may assert the limitation as a bar to the arbitration on an application to the court as provided in section 7503 or subdivision (b) of section 7511. The failure to assert such bar by such application shall not preclude its assertion before the arbitrators, who may, in their sole discretion, apply or not apply the bar. Except as provided in subdivision (b) of section 7511, such exercise of discretion by the arbitrators shall not be subject to review by a court on an application to confirm, vacate or modify the award.

(c) Provisional remedies. The supreme court in the county in which an arbitration is pending or in a county specified in subdivision (a) of this section, may entertain an application for an order of attachment or for a preliminary injunction in connection with an arbitration that is pending or that is to be commenced inside or outside this state, whether or not it is subject to the United Nations convention on the recognition and enforcement of foreign arbitral awards, but only upon the ground that the award to which the applicant may be entitled may be rendered ineffectual without such provisional relief. The provisions of articles 62 and 63 of this chapter shall apply to the application, including those relating to undertakings and to the time for commencement of an action (arbitration shall be deemed an action for this purpose), except that the sole ground for the granting of the remedy shall be as stated above. If an arbitration is not commenced within thirty days of the granting of the provisional relief, the order granting such relief shall expire and be null and void and costs, including reasonable attorney's fees, awarded to the respondent. The court may reduce or expand this period of time for good cause shown. The form of the application shall be as provided in subdivision (a) of this section.