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Title

ALMOST ONE-TO-ONE FACTOR MAPS ON SMALE SPACES

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Abstract

ALMOST ONE-TO-ONE MAPS BETWEEN SMALE SPACES ARE FACTOR MAPS WHOSE THE DEGREES ARE ONE. PUTNAM SHOWS THAT ANY ALMOST ONE-TO-ONE FACTOR MAP BETWEEN SAMLE SPACES CAN BE DECOMPOSED AS A COMPOSITION OF TWO RESOLVING MAPS. IN THIS PAPER, WE INVESTIGATE THIS SUBJECT AND WE SHOW THAT TWO RESOLVING MAPS ARE ALMOST ONE-TO-ONE, TOO.

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