A completely regular topological space 𝑋 is called a 𝑃-space if every zero-set in 𝑋 is open. An intermediate ring is a ring 𝐴(𝑋) of real-valued continuous functions on 𝑋 containing all the ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

This is a preview. Log in through your library . Abstract It is shown that there exist $2n + 1$ real valued, continuous functions $\phi_0,\ldots, \phi_{2n}$ defined ...