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Confluent projections and connectedness of inverse limits

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V. Nall proved that connectedness is preserved under inverse limits if the bounding functions are unions of functions with connected images. We show that for such functions the projections from… Click to show full abstract

V. Nall proved that connectedness is preserved under inverse limits if the bounding functions are unions of functions with connected images. We show that for such functions the projections from the graph onto domain are confluent and we investigate relationships between functions satisfying this or similar conditions with confluence or openness of projections.

Keywords: inverse limits; confluent projections; connectedness inverse; projections connectedness

Journal Title: Rocky Mountain Journal of Mathematics
Year Published: 2021

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