Continua and Related Topics

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This paper is a study of continue and related metric spaces, Chapter I is an introductory chapter. Irreducible continua and noncut points are the main topics in Chapter II. The third chapter begins with a few results on locally connected spaces. These results are then used to prove results in locally connected continua. Decomposable and indecomposable continua are dealt with in Chapter IV. Totally disconnected metric spaces are studied in the beginning of Chapter V. Then we see that every compact metric space is a continuous image of the Cantor set. A continuous map from the Cantor set onto [0,1] ... continued below

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iv, 73 leaves: ill.

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Brucks, Karen M. (Karen Marie), 1957- August 1982.

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  • Brucks, Karen M. (Karen Marie), 1957-

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This paper is a study of continue and related metric spaces, Chapter I is an introductory chapter. Irreducible continua and noncut points are the main topics in Chapter II. The third chapter begins with a few results on locally connected spaces. These results are then used to prove results in locally connected continua. Decomposable and indecomposable continua are dealt with in Chapter IV. Totally disconnected metric spaces are studied in the beginning of Chapter V. Then we see that every compact metric space is a continuous image of the Cantor set. A continuous map from the Cantor set onto [0,1] is constructed. Also, a continuous map from [0,1] onto [0,1]x[0,1] is built, Then an order preserving homeomorphism is constructed from a metric arc onto [0,1],

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iv, 73 leaves: ill.

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  • August 1982

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  • May 10, 2015, 6:16 a.m.

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  • Jan. 5, 2017, 1:02 p.m.

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Brucks, Karen M. (Karen Marie), 1957-. Continua and Related Topics, thesis, August 1982; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc504299/: accessed September 20, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .