The Mardesic conjecture for countably compact spaces

We shall show that if d and s are positive integers, Ki is a compact linearly ordered topological space for each i < d, X is a countably compact subspace of � Zj is an infinite Hausdorff space for each j < d + s, and f : X & RARR; � i<d Ki, continuous surjection, then there exist at least s + 1-many indexes j < d + s such that Zj is compact and metrizable. This improves the Mardesic Conjecture, which was proved by G. Martinez-Cervantes and G. Plebanek in [1]. & COPY; 2023 Elsevier B.V. All rights reserved.