A sufficient condition in terms of lower cut sets is given for the insertion of a continuous function between two comparable real-valued functions. The concept of a C-open set in a topological space ...

Teaching students to identify graphs of continuous functions is an important concept in mathematics. Understanding the continuity of a function can help students make predictions about the behavior of ...

Let $\Omega = \Omega_1 \times \cdots \times \Omega_n (n > 1)$ be a product of n Brelot harmonic spaces each of which has a bounded potential, and let K be a compact subset of Ω. Then, K is an n-polar ...