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Eulerian Spaces
Language: English
Published by American Mathematical Society, US, 2024
ISBN 10: 1470467844 ISBN 13: 9781470467845
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. We develop a unified theory of Eulerian spaces by combining the combinatorial theory of infinite, locally finite Eulerian graphs as introduced by Diestel and Kühn with the topological theory of Eulerian continua defined as irreducible images of the circle, as proposed by Bula, Nikiel and Tymchatyn. First, we clarify the notion of an Eulerian space and establish that all competing definitions in the literature are in fact equivalent. Next, responding to an unsolved problem of Treybig and Ward from 1981, we formulate a combinatorial conjecture for characterising the Eulerian spaces, in a manner that naturally extends the characterisation for finite Eulerian graphs. Finally, we present far-reaching results in support of our conjecture which together subsume and extend all known results about the Eulerianity of infinite graphs and continua to date. In particular, we characterise all one-dimensional Eulerian spaces.
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Eulerian Spaces (Memoirs of the American Mathematical Society)
Language: English
Published by American Mathematical Society, 2024
ISBN 10: 1470467844 ISBN 13: 9781470467845
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Seller rating 5 out of 5 stars
Condition: New. 2024. paperback. . . . . .
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Eulerian Spaces: Volume: 292 Number: 1456 (Memoirs of the American Mathematical Society)
Language: English
Published by American Mathematical Society, 2024
ISBN 10: 1470467844 ISBN 13: 9781470467845
US$ 102.39
US$ 13.45 shipping
Ships from United Kingdom to U.S.A.Quantity: 2 available
Add to basketPaperback. Condition: Brand New. 86 pages. In Stock.
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Eulerian Spaces (Memoirs of the American Mathematical Society, 292)
Language: English
Published by Amer Mathematical Society, 2024
ISBN 10: 1470467844 ISBN 13: 9781470467845
US$ 114.78
US$ 8.75 shipping
Ships from United Kingdom to U.S.A.Quantity: 3 available
Add to basketCondition: New.
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Eulerian Spaces (Memoirs of the American Mathematical Society)
Language: English
Published by American Mathematical Society, 2024
ISBN 10: 1470467844 ISBN 13: 9781470467845
Condition: New. 2024. paperback. . . . . . Books ship from the US and Ireland.
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Eulerian Spaces (Memoirs of the American Mathematical Society, 292)
Language: English
Published by American Mathematical Society, 2024
ISBN 10: 1470467844 ISBN 13: 9781470467845
paperback. Condition: Gut. 86 Seiten; 9781470467845.3 Gewicht in Gramm: 500.
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Eulerian Spaces
Language: English
Published by American Mathematical Society, US, 2024
ISBN 10: 1470467844 ISBN 13: 9781470467845
US$ 91.94
US$ 87.46 shipping
Ships from United Kingdom to U.S.A.Quantity: 4 available
Add to basketPaperback. Condition: New. We develop a unified theory of Eulerian spaces by combining the combinatorial theory of infinite, locally finite Eulerian graphs as introduced by Diestel and Kühn with the topological theory of Eulerian continua defined as irreducible images of the circle, as proposed by Bula, Nikiel and Tymchatyn. First, we clarify the notion of an Eulerian space and establish that all competing definitions in the literature are in fact equivalent. Next, responding to an unsolved problem of Treybig and Ward from 1981, we formulate a combinatorial conjecture for characterising the Eulerian spaces, in a manner that naturally extends the characterisation for finite Eulerian graphs. Finally, we present far-reaching results in support of our conjecture which together subsume and extend all known results about the Eulerianity of infinite graphs and continua to date. In particular, we characterise all one-dimensional Eulerian spaces.
