NOVELTY - Catalyst support material for catalytic combustion of a gas, comprises a substrate permeable to gas, capable of keeping the combustion temperature of gases, provided with a mesoporous coating i.e. essentially mineral, optionally capable of keeping the combustion temperature of the gas, which is constituted by a porous matrix for fixing at least within the pores of at least one catalytic element for the combustion.    USE - The material is useful: as a catalyst supported in the catalytic combustion of hydrocarbon gases, which are butane, commercial butane, propane, commercial propane and/or natural gas; for heating, preferably home heating and cooking food, drying and cooking painted parts, heating pipes of pipelines, and heating in applications requiring conditions compatible with explosive atmospheres (all claimed).    ADVANTAGE - The catalyst support material is capable of keeping the combustion temperature of gases, and provided with mesoporous coating i.e. essentially mineral, optionally capable of keeping the combustion temperature of the gas, which is constituted by a porous matrix for fixing at least within the pores of at least one catalytic element for the combustion (claimed). The catalyst support material: is cost effective; allows to obtain energy efficiency i.e. energy efficiency equivalent or superior to ceramic fiber; is used in the field of home heating and the performance superior to existing devices.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are included for:    (1) a material comprising the mesoporous cavities of mesoporous coating form interconnected cavities;    (2) a catalytic material for the catalytic combustion of gas, comprising the catalytic support material with at least a catalytic element for the combustion fixed at least within pores in the mesoporous matrix that constitute the mesoporous coating;    (3) a preparation of the material comprising impregnating the substrate permeable to gas by the mesoporous coating essentially mineral by an aqueous solution of precursor salt of the metal or oxides comprising the catalytic elements, optionally rinsing to remove excess solution in the pores, and drying then calcining to transform the oxide precursors; and    (4) a heating or cooking appliance or equipment comprising stove, boiler, comprising incorporating the catalytic material or prepared by the process.