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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 4, Pages 71–84 (Mi fpm847)  
This article is cited in 3 scientific papers (total in 3 papers)

Geometric topology of generalized $3$-manifolds

A. Cavicchiolia, D. Repovšb, T. Thickstunc

a University of Modena and Reggio Emilia
b University of Ljubljana
c Texas State University-San Marcos
Full-text PDF (174 kB) Citations (3)
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Abstract: In this paper, we describe the history and the present status of one of the main classical problems in low-dimensional geometric topology — the recognition of topological 3-manifolds in the class of all generalized 3-manifolds (i.e., ANR homology 3-manifolds). This problem naturally splits into the cell-like resolution problem for 3-manifolds by means of homology 3-manifolds and the general-position problem for topological 3-manifolds. We have also included some open problems.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 144, Issue 5, Pages 4413–4422
DOI: https://doi.org/10.1007/s10958-007-0279-y
Bibliographic databases:
UDC: 515.162.3+515.163
Language: Russian
Citation: A. Cavicchioli, D. Repovš, T. Thickstun, “Geometric topology of generalized $3$-manifolds”, Fundam. Prikl. Mat., 11:4 (2005), 71–84; J. Math. Sci., 144:5 (2007), 4413–4422
Citation in format AMSBIB
\Bibitem{CavRepThi05}
\by A.~Cavicchioli, D.~Repov{\v s}, T.~Thickstun
\paper Geometric topology of generalized $3$-manifolds
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 4
\pages 71--84
\mathnet{http://mi.mathnet.ru/fpm847}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2192956}
\zmath{https://zbmath.org/?q=an:1149.57314}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 144
\issue 5
\pages 4413--4422
\crossref{https://doi.org/10.1007/s10958-007-0279-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547498176}
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  • https://www.mathnet.ru/eng/fpm/v11/i4/p71
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    References:55
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