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Local connectedness of the limit of indecomposable factorisable inverse systems

Ivan Lončar

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Abstract

The main purpose of the present paper is to prove the following theorem: Let X = {; ; X_a, f_(ab), A}; ; be an indecomposable inverse f-system of completely regular locally connected spaces X_a with onto projections f_a. Then lim X is locally connected.

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What this paper is about

The main purpose of the present paper is to prove the following theorem: Let X = {; ; X_a, f_(ab), A}; ; be an indecomposable inverse f-system of completely regular locally connected spaces X_a with onto projections f_a. Then lim X is locally connected.

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Available abstract

The main purpose of the present paper is to prove the following theorem: Let X = {; ; X_a, f_(ab), A}; ; be an indecomposable inverse f-system of completely regular locally connected spaces X_a with onto projections f_a. Then lim X is locally connected.

Key concepts: Indecomposable module, Inverse limit, Mathematics, Social connectedness, Inverse, Pure mathematics, Inverse system, Limit (mathematics)

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