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Brouwer's lesser theorem

Brouwer’s lesser theorem states that in any continuous process or system, there are points that remain unchanged or are mapped onto themselves. In simple terms, if you have a way of smoothly transforming one shape into another (like stretching or bending without tearing), there will always be at least one point that stays fixed or maps onto itself during this transformation. This idea helps us understand stability and invariance in mathematical systems and has important applications in areas like topology and fixed-point theory.