Concordance of compacta

Vo Thanh Liem; Gerard A. Venema

Compositio Mathematica (1990)

  • Volume: 75, Issue: 2, page 193-201
  • ISSN: 0010-437X

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Liem, Vo Thanh, and Venema, Gerard A.. "Concordance of compacta." Compositio Mathematica 75.2 (1990): 193-201. <http://eudml.org/doc/90033>.

@article{Liem1990,
author = {Liem, Vo Thanh, Venema, Gerard A.},
journal = {Compositio Mathematica},
keywords = {shape concordant; shape equivalences; complement theorem; inessential loops condition},
language = {eng},
number = {2},
pages = {193-201},
publisher = {Kluwer Academic Publishers},
title = {Concordance of compacta},
url = {http://eudml.org/doc/90033},
volume = {75},
year = {1990},
}

TY - JOUR
AU - Liem, Vo Thanh
AU - Venema, Gerard A.
TI - Concordance of compacta
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 75
IS - 2
SP - 193
EP - 201
LA - eng
KW - shape concordant; shape equivalences; complement theorem; inessential loops condition
UR - http://eudml.org/doc/90033
ER -

References

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  1. 1 T.A. Chapman, On some applications of infinite-dimensional manifolds to the theory of shape, Fund. Math.76 (1972), 181-193. Zbl0262.55016MR320997
  2. 2 S.C. Ferry, A stable converse to the Vietoris-Smale theorem with applications to shape theory, Trans. Amer. Math. Soc.261 (1980), 369-386. Zbl0452.57002MR580894
  3. 3 J.F.P. Hudson, Concordance, isotopy and diffeotopy, Ann. of Math.91 (1970), 425-488. Zbl0202.54602MR259920
  4. 4 J.F.P. Hudson, Piecewise Linear Topology, W. A. Benjamin, Inc., New York and Amsterdam, 1969. Zbl0189.54507MR248844
  5. 5 L.S. Husch and I. Ivanšić, On shape concordances, in 'Shape Theory and Geometric Topology,' Lecture Notes in Mathematics, vol. 870, Springer-Verlag, New York, 1981, pp. 135-149. Zbl0473.57004MR643528
  6. 6 I Ivanšić and R.B. Sher, A complement theorem for continua in a manifold, Topology Proceedings4 (1979), 437-452. Zbl0458.57009MR598285
  7. 7 I Ivanšić, R.B. Sher, and G.A. Venema, Complement theorems beyond the trivial range, Ill. J. Math.25 (1981), 209-220. Zbl0454.57007MR607023
  8. 8 V.T. Liem and G.A. Venema, Stable shape concordance implies homeomorphic complements, Fund. Math.126 (1986), 123-131. Zbl0605.57008MR843241
  9. 9 V.T. Liem and G.A. Venema, Neighborhoods of S1-like continua in 4-manifolds, Mich. Math. J. (to appear). Zbl0831.57008MR1214053
  10. 10 S Mardešić and J. Segal, Shape Theory, North-Holland, Amsterdam, 1982. Zbl0495.55001MR676973
  11. 11 R.B. Sher, A complement theorem for shape concordant compacta, Proc. Amer. Math. Soc.91 (1984), 123-132. Zbl0553.57006MR735578
  12. 12 R.B. Sher, Complement theorems in shape theory, II, in 'Geometric Topology and Shape Theory,' Lecture Notes in Mathematics, vol. 1283, Springer-Verlag, New York, 1987, pp. 212-220. Zbl0631.55006MR922283
  13. 13 L.C. Siebenmann, Infinite simple homotopy types, Indag. Math.73 (1970), 479-495. Zbl0203.56002MR287542
  14. 14 E.H. Spanier, Algebraic Topology, McGraw-Hill Book Co., New York, 1966. Zbl0145.43303MR210112
  15. 15 G.A. Venema, Embeddings of compacta with shape dimension in the trivial range, Proc. Amer. Math. Soc.55 (1976), 443-448. Zbl0332.57005MR397738
  16. 16 G.A. Venema, Neighborhoods of compacta in Euclidean space, Fund. Math.109 (1980), 71-78. Zbl0372.57006MR594326
  17. 17 G.A. Venema, Neighborhoods of compacta in 4-manifolds, Topology and its Appl.31 (1989), 83-97. Zbl0669.57005MR984106

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