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Inverse Limits with Upper Semi-continuous Bonding Functions Whose Inverse Functions are Continuous

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Abstract

In this paper, we investigate properties of inverse limits with upper semi-continuous bonding functions whose inverse functions are continuous. In particular, under the condition where each factor space is an arbitrary compactum, we give a sufficient condition for inverse sequences with upper semi-continuous bonding functions to have the full projection property.

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Notes

  1. The meaning of the term “full projection property” differs from author to author. In this paper, we use the term in the sense used in [14].

  2. Also, we use the term “continuum full projection property” in the sense used in [14].

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Acknowledgements

The authors would like to thank the referee for careful reading of the paper and useful suggestions for improvement. This work was supported by JSPS KAKENHI Grant Number 17K05251.

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Authors and Affiliations

  1. Department of Mathematics, Shimane University, Matsue, Shimane,  690-8504, Japan

    Eiichi Matsuhashi & Takahiro Yamanaka

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  1. Eiichi Matsuhashi
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  2. Takahiro Yamanaka
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Correspondence to Eiichi Matsuhashi.

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Matsuhashi, E., Yamanaka, T. Inverse Limits with Upper Semi-continuous Bonding Functions Whose Inverse Functions are Continuous. Mediterr. J. Math. 17, 89 (2020). https://doi.org/10.1007/s00009-020-01525-3

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  • DOI: https://doi.org/10.1007/s00009-020-01525-3

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