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Uspekhi Mat. Nauk, 1988, Volume 43, Issue 4(262), Pages 11–55 (Mi umn1833)  

This article is cited in 38 scientific papers (total in 38 papers)

Homological dimension theory

A. N. Dranishnikov

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English version:
Russian Mathematical Surveys, 1988, 43:4, 11–63

Bibliographic databases:

UDC: 515.142.221
MSC: 12G10, 57T10, 20K01, 20K30, 20K40
Received: 10.03.1988

Citation: A. N. Dranishnikov, “Homological dimension theory”, Uspekhi Mat. Nauk, 43:4(262) (1988), 11–55; Russian Math. Surveys, 43:4 (1988), 11–63

Citation in format AMSBIB
\by A.~N.~Dranishnikov
\paper Homological dimension theory
\jour Uspekhi Mat. Nauk
\yr 1988
\vol 43
\issue 4(262)
\pages 11--55
\jour Russian Math. Surveys
\yr 1988
\vol 43
\issue 4
\pages 11--63

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    1. R.J. Daverman, “Hereditarily aspherical compacta and cell-like maps”, Topology and its Applications, 41:3 (1991), 247  crossref
    2. S. M. Ageev, “Classifying spaces for free actions, and the Hilbert–Smith conjecture”, Russian Acad. Sci. Sb. Math., 75:1 (1993), 137–144  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    3. Yu. V. Lubenets, “The fundamental dimension of subcompacta”, Russian Math. Surveys, 47:3 (1992), 182–183  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    4. A.N. Dranishnikov, “Stable cohomotopy dimension and weakly infinite dimensional spaces”, Topology and its Applications, 47:1 (1992), 79  crossref
    5. A. N. Dranishnikov, “The Eilenberg–Borsuk theorem for mappings into an arbitrary complex”, Russian Acad. Sci. Sb. Math., 81:2 (1995), 467–475  mathnet  crossref  mathscinet  zmath  isi
    6. Takahisa Miyata, “COHOMOLOGICAL DIMENSION OF UNIFORM SPACES”, Quaestiones Mathematicae, 19:1-2 (1996), 137  crossref
    7. Alexander N. Dranishnikov, Dušan Repovs, “Cohomological dimension with respect to perfect groups”, Topology and its Applications, 74:1-3 (1996), 123  crossref
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    11. L. V. Bogachev, E. B. Yarovaya, “A limit theorem for a supercritical branching random walk on $\mathbb Z^d$ with a single source”, Russian Math. Surveys, 53:5 (1998), 1086–1088  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    12. Bogatyi, SA, “The geometry of maps into Euclidean space”, Russian Mathematical Surveys, 53:5 (1998), 893  mathnet  crossref  mathscinet  zmath  adsnasa  isi
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    18. Katsuya Yokoi, “Edwards-Walsh resolutions of complexes and Abelian groups”, BAZ, 62:3 (2000), 407  crossref  mathscinet  zmath  isi
    19. A Dranishnikov, “On Alexandroff theorem for general Abelian groups”, Topology and its Applications, 111:3 (2001), 343  crossref  elib
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    22. S. A. Bogatyi, “Topologicheskaya teorema Khelli”, Fundament. i prikl. matem., 8:2 (2002), 365–405  mathnet  mathscinet  zmath
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    25. V. V. Fedorchuk, “Fully closed mappings and their applications”, J. Math. Sci., 136:5 (2006), 4201–4292  mathnet  crossref  mathscinet  zmath  elib  elib
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    27. Dydak, J, “Extension theory of infinite symmetric products”, Fundamenta Mathematicae, 182:1 (2004), 53  crossref  mathscinet  zmath  isi  elib
    28. Rubin, LR, “Resolutions for metrizable compacta in extension theory”, Transactions of the American Mathematical Society, 358:6 (2006), 2507  crossref  mathscinet  zmath  isi
    29. D. V. Artamonov, “Local Homology and Dimensional Full-Valuedness”, Math. Notes, 81:5 (2007), 573–589  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    30. V. V. Fedorchuk, “Weakly infinite-dimensional spaces”, Russian Math. Surveys, 62:2 (2007), 323–374  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
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    32. V. V. Fedorchuk, “Dimension scales of bicompacta”, Siberian Math. J., 49:3 (2008), 549–561  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    33. Tulsi Srinivasan, “On the Lusternik–Schnirelmann category of Peano continua”, Topology and its Applications, 2013  crossref
    34. Alexander Dranishnikov, Michael Levin, “On dimensionally exotic maps”, Isr. J. Math, 2014  crossref
    35. Dranishnikov A., Levin M., “Dimension of the Product and Classical Formulae of Dimension Theory”, Trans. Am. Math. Soc., 366:5 (2014), 2683–2697  isi
    36. Dranishnikov A.N., “Dimension of Compact Metric Spaces”, Indag. Math.-New Ser., 29:1, SI (2018), 429–449  crossref  isi
    37. Levin M., “On the Unstable Intersection Conjecture”, Geom. Topol., 22:5 (2018), 2511–2532  crossref  isi
    38. P. S. Gevorkyan, “Teoriya sheipov”, Fundament. i prikl. matem., 22:6 (2019), 19–84  mathnet
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