A topological resolution theorem

Selman Akbulut; Laurence Taylor

Publications Mathématiques de l'IHÉS (1981)

  • Volume: 53, page 163-195
  • ISSN: 0073-8301

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Akbulut, Selman, and Taylor, Laurence. "A topological resolution theorem." Publications Mathématiques de l'IHÉS 53 (1981): 163-195. <http://eudml.org/doc/103972>.

@article{Akbulut1981,
author = {Akbulut, Selman, Taylor, Laurence},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {PL manifold PL homeomorphic to an algebraic set; classifying space for A- structures; classifying space for PL-structures},
language = {eng},
pages = {163-195},
publisher = {Institut des Hautes Études Scientifiques},
title = {A topological resolution theorem},
url = {http://eudml.org/doc/103972},
volume = {53},
year = {1981},
}

TY - JOUR
AU - Akbulut, Selman
AU - Taylor, Laurence
TI - A topological resolution theorem
JO - Publications Mathématiques de l'IHÉS
PY - 1981
PB - Institut des Hautes Études Scientifiques
VL - 53
SP - 163
EP - 195
LA - eng
KW - PL manifold PL homeomorphic to an algebraic set; classifying space for A- structures; classifying space for PL-structures
UR - http://eudml.org/doc/103972
ER -

References

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  2. [A-K] S. AKBULUT and H. KING, Real algebraic structures on topological spaces, Publ. Math. I.H.E.S., 53 (1981), 79-162. Zbl0531.57019MR83h:58009
  3. [B-L-P] W. BROWDER, A. LIULEVICIUS and F. PETERSON, Cobordism theories, Ann. of Math., 84 (1966), 91-101. Zbl0139.16701MR33 #6638
  4. [B] E. BROWN, Cohomology theories, Ann. of Math., 75 (1962), 467-484. Zbl0101.40603MR25 #1551
  5. [Br] G. BRUMFIEL, Realizing homology classes by PL manifolds, in Algebraic and Geometric Topology, Lecture Notes in Math., 664, Springer-Verlag, 43-60 (1978). Zbl0388.57023MR81k:57038
  6. [B-M-M] G. BRUMFIEL, I. MADSON and R. J. MILGRAM, PL characteristic classes and cobordism, Ann. of Math., 97 (1973), 82-159. Zbl0248.57006MR46 #9979
  7. [H] H. HIRONAKA, Resolution of singularities of an algebraic variety over a field of characteristic zero: I, II, Ann. of Math., 79 (1964), 109-326. Zbl0122.38603MR33 #7333
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  12. [Mac] S. MACLANE, Coherence and canonical maps, Symposia Mathematica, IV (1970), 231-241. Zbl0225.18007MR46 #1879
  13. [M-M] N. MARTIN and C. R. F. MAUNDER, Homology cobordism bundles, Topology, 10 (1970), 93-110. Zbl0214.21804MR42 #8511
  14. [Mu] J. MUNKRES, Elementary Differential Topology, Annals of Math. Studies, 54, Princeton Univ. Press (1965). 
  15. [N] J. NASH, Real algebraic manifolds, Ann. of Math., 56 (1952), 405-421. Zbl0048.38501MR14,403b
  16. [R-S] C. ROURKE and B. SANDERSON, Introduction to Piecewise-Linear Topology, Ergeb. der Math. u. ihrer Grenzgeb., 69, Springer-Verlag (1972). Zbl0254.57010MR50 #3236
  17. [Ta] L. TAYLOR, 2-local cobordism theories, Jour. London Math. Soc., 14 (1976), 303-308. Zbl0341.57011MR55 #4144
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