Topological spaces form the foundational framework for modern analysis and geometry, characterised by a set equipped with a collection of open subsets satisfying specific axioms. This flexible ...

We give a systematic technical exposition of the foundations of the theory of computably compact metric spaces. We discover several new characterizations of computable compactness and apply these ...

Properties that remain unchanged when materials are stretched or bent, which are broadly referred to as topological ...

Let 𝓑 be a base for a nowhere locally compact Tychonoff space X and let bX be a compactification of X. Then the following two statements hold: (1) The remainder bX \ X of X is pseudocompact if and ...

In the rapidly evolving landscape of modern physics, the concept of topological textures has emerged as a powerful tool for revolutionizing information technologies. Traditionally confined to ...