Homeomorphic neighborhoods in μ n + 1 -manifolds

Yūji Akaike

Colloquium Mathematicae (1998)

  • Volume: 77, Issue: 2, page 245-250
  • ISSN: 0010-1354

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Akaike, Yūji. "Homeomorphic neighborhoods in $μ^{n+1}$-manifolds." Colloquium Mathematicae 77.2 (1998): 245-250. <http://eudml.org/doc/210587>.

@article{Akaike1998,
author = {Akaike, Yūji},
journal = {Colloquium Mathematicae},
keywords = {$μ^\{n+1\}$-manifold; proper n-shape; n-clean; $Δ_\{n+1\}$-product; proper homotopy; -dimensional universal Menger compactum; proper -shape; -manifold},
language = {eng},
number = {2},
pages = {245-250},
title = {Homeomorphic neighborhoods in $μ^\{n+1\}$-manifolds},
url = {http://eudml.org/doc/210587},
volume = {77},
year = {1998},
}

TY - JOUR
AU - Akaike, Yūji
TI - Homeomorphic neighborhoods in $μ^{n+1}$-manifolds
JO - Colloquium Mathematicae
PY - 1998
VL - 77
IS - 2
SP - 245
EP - 250
LA - eng
KW - $μ^{n+1}$-manifold; proper n-shape; n-clean; $Δ_{n+1}$-product; proper homotopy; -dimensional universal Menger compactum; proper -shape; -manifold
UR - http://eudml.org/doc/210587
ER -

References

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  1. [1] Y. Akaike, Proper n-shape and property S U V n , Bull. Polish Acad. Sci. Math. 45 (1997), 251-261. 
  2. [2] Y. Akaike, Proper n-shape and the Freudenthal compactification, Tsukuba J. Math., to appear. Zbl0924.54022
  3. [3] B. J. Ball and R. B. Sher, A theory of proper shape for locally compact metric spaces, Fund. Math. 86 (1974), 163-192. Zbl0293.54037
  4. [4] M. Bestvina, Characterizing k-dimensional universal Menger compacta, Mem. Amer. Math. Soc. 380 (1988). Zbl0645.54029
  5. [5] A. Chigogidze, Compacta lying in the n-dimensional Menger compactum and having homeomorphic complements in it, Mat. Sb. 133 (1987), 481-496 (in Russian); English transl.: Math. USSR-Sb. 61 (1988), 471-484. Zbl0669.54010
  6. [6] A. Chigogidze, The theory of n-shape, Uspekhi Mat. Nauk 44 (5) (1989), 117-140 (in Russian); English transl.: Russian Math. Surveys 44 (5) (1989), 145-174. 
  7. [7] A. Chigogidze, Classification theorem for Menger manifolds, Proc. Amer. Math. Soc. 116 (1992), 825-832. Zbl0773.55005
  8. [8] A. Chigogidze, Finding a boundary for a Menger manifold, ibid. 121 (1994), 631-640. Zbl0838.57014
  9. [9] A. Chigogidze, K. Kawamura and E. D. Tymchatyn, Menger manifolds, in: Continua, H. Cook et al. (eds.), Lecture Notes in Pure and Appl. Math. 170, Marcel Dekker, New York, 1995, 37-88. 
  10. [10] Y. Iwamoto, Infinite deficiency in Menger manifolds, Glas. Mat. Ser. III 30 (50) (1995), 311-322. Zbl0845.54011
  11. [11] R. B. Sher, Proper shape theory and neighborhoods of sets in Q-manifolds, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 23 (1975), 271-276. Zbl0307.55011
  12. [12] J. H. C. Whitehead, Simplicial spaces, nuclei, and m-groups, Proc. London Math. Soc. (2) 45 (1939), 243-327. Zbl0022.40702

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