Homology of Function Spaces.
F.R. Cohen, L.R. Taylor (1988)
Mathematische Zeitschrift
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F.R. Cohen, L.R. Taylor (1988)
Mathematische Zeitschrift
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Graham Hilton Toomer (1976)
Mathematische Zeitschrift
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Ludger Kaup, Karl-Heinz Fieseler (1988)
Mathematische Zeitschrift
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Jean-Louis Loday (1996)
Mathematische Zeitschrift
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Brooke E. Shipley (1995)
Mathematische Zeitschrift
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S. K. Kaul (1970)
Colloquium Mathematicae
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Urs Stammbach (1972)
Mathematische Zeitschrift
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Victor Snaith (1983)
Mathematische Zeitschrift
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Z. Fiedorowicz, T. Pirashvili (1995)
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Gregory R. Conner, Samuel M. Corson (2016)
Fundamenta Mathematicae
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We show that the first homology group of a locally connected compact metric space is either uncountable or finitely generated. This is related to Shelah's well-known result (1988) which shows that the fundamental group of such a space satisfies a similar condition. We give an example of such a space whose fundamental group is uncountable but whose first homology is trivial, showing that our result does not follow from Shelah's. We clarify a claim made by Pawlikowski (1998) and offer...
Bruns, Winfried, Vetter, Udo (1998)
Beiträge zur Algebra und Geometrie
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Yu. T. Lisitsa, S. Mardešić (1986)
Banach Center Publications
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Marian Mrozek, Bogdan Batko (2010)
Annales Polonici Mathematici
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We generalize the notion of cubical homology to the class of locally compact representable sets in order to propose a new convenient method of reducing the complexity of a set while computing its homology.
Ulrich Oberst (1968)
Mathematische Zeitschrift
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