The comparison between a saber and a katana in terms of which one is "better" depends on various factors, including the intended use, combat style, and personal preferences. Here are some considerations:

1. Design and Blade Shape: A saber typically has a curved blade with a single cutting edge, while a katana also has a curved blade but with a single cutting edge and a slight curve towards the tip. The design of the blade can affect the balance, cutting ability, and handling characteristics of the sword.
2. Historical Context and Cultural Significance: A saber is traditionally associated with European cavalry and military traditions, while the katana holds cultural significance as the iconic sword of the samurai in feudal Japan. The historical context and cultural symbolism can influence perceptions of value and preference.
3. Combat Style and Tactics: Sabers were used by cavalry units, emphasizing mobility, mounted combat, and slashing attacks. The curved blade allowed for effective cutting while on horseback. The katana, designed for the samurai class, excelled in one-on-one combat and close-quarters engagements. Its curved blade allowed for versatile cutting, slashing, and thrusting techniques.
4. Blade Geometry and Cutting Mechanics: The shape and weight distribution of the blade can affect cutting mechanics. Sabers typically have a wider and thicker blade towards the base, tapering to a narrower point, which can enhance cutting power. The katana's geometry, with its curved edge and differential hardening, allows for a sharp cutting edge and optimized balance.
5. Historical Armor Considerations: The armor worn by opponents in different historical periods can impact the design and use of swords. European armor typically required swords like sabers to deliver powerful slashing attacks against the plate armor worn by knights. In contrast, the armor worn in feudal Japan was often lighter and focused on protection against cutting and thrusting attacks, influencing the design and use of the katana.

It's important to note that the notion of one sword being universally "better" than another is subjective and depends on specific criteria and preferences. Both sabers and katanas have their own merits, historical contexts, and intended uses. The choice between them depends on factors such as combat style, cultural significance, personal preference, and the specific requirements of the user.