To determine the general name of the reaction between an acid and a base, let's explore the concepts of each option:

1. Oxidation: This is a chemical reaction that involves the loss of electrons by a molecule, atom, or ion. It typically involves the interaction of a substance with oxygen, but it is broader than just reacting with oxygen.
2. Combustion: A combustion reaction is a high-temperature exothermic redox chemical reaction between a fuel (usually a hydrocarbon) and an oxidant (typically oxygen) that produces oxidized products and heat.
3. Neutralisation: This is a chemical reaction where an acid and a base react quantitatively with each other. In a reaction in water, neutralization results in there being no excess of hydrogen or hydroxide ions in the solution. The products are usually water and a salt.
4. Decomposition: A decomposition reaction is a type of reaction where one compound breaks down into two or more simpler substances.

Given these definitions, the correct answer is Neutralisation, as it precisely describes the reaction between an acid and a base, where they neutralize each other to form water and a salt.

Conclusion: The general name of the reaction between an acid and a base is Neutralisation.

This choice is further supported by the exclusion of other options, which describe completely different chemical processes.