The homeomorphism group of a compact $Q$manifold is an ANR
Author:
Steve Ferry
Journal:
Bull. Amer. Math. Soc. 82 (1976), 910912
MSC (1970):
Primary 54C55, 57A20, 57C10, 58D05; Secondary 57A60, 57E05
MathSciNet review:
0423385
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Similar Articles 
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R.
D. Anderson and R.
H. Bing, A complete elementary proof that
Hilbert space is homeomorphic to the countable infinite product of
lines, Bull. Amer. Math. Soc. 74 (1968), 771–792. MR 0230284
(37 #5847), http://dx.doi.org/10.1090/S000299041968120440

Steve
Armentrout, Concerning cellular decompositions of
3manifolds that yield 3manifolds, Trans.
Amer. Math. Soc. 133 (1968), 307–332. MR 0230296
(37 #5859), http://dx.doi.org/10.1090/S00029947196802302967

T.
A. Chapman, Celllike mappings of Hilbert cube manifolds: solution
of a handle problem, General Topol. Appl. 5 (1975),
123–145. MR 0377894
(51 #14063)

T.
A. Chapman, Celllike mappings of Hilbert cube
manifolds: applications to simple homotopy theory, Bull. Amer. Math. Soc. 79 (1973), 1286–1291. MR 0326740
(48 #5083), http://dx.doi.org/10.1090/S000299041973134172

Ross
Geoghegan, On spaces of homeomorphisms, embeddings and functions.
I, Topology 11 (1972), 159–177. MR 0295281
(45 #4349)

R.
Luke and W.
K. Mason, The space of homeomorphisms on a
compact twomanifold is an absolute neighborhood retract, Trans. Amer. Math. Soc. 164 (1972), 275–285. MR 0301693
(46 #849), http://dx.doi.org/10.1090/S00029947197203016937

W.
K. Mason, The space of all selfhomeomorphisms
of a twocell which fix the cell’s boundary is an absolute
retract, Trans. Amer. Math. Soc. 161 (1971), 185–205. MR 0286067
(44 #3283), http://dx.doi.org/10.1090/S00029947197102860679

L.
C. Siebenmann, Approximating cellular maps by homeomorphisms,
Topology 11 (1972), 271–294. MR 0295365
(45 #4431)

H.
Toruńczyk, Absolute retracts as factors of normed linear
spaces, Fund. Math. 86 (1974), 53–67. MR 0365471
(51 #1723)
 [AB] R. D. Anderson and R. H. Bing, A complete elementary proof that Hilbert space is homeomorphic to the countable infinite product of lines, Bull. Amer. Math. Soc. 74 (1968), 771792. MR 37 #5847. MR 230284
 [A] S. Armentrout, Concerning cellular decompositions of 3manifolds that yield 3manifolds, Trans. Amer. Math. Soc. 133 (1968), 307332. MR 37 #5859. MR 230296
 [Ch_{1} ] T. A. Chapman, Celllike mappings of Hilbert cube manifolds: Solution of a handle problem, General Topology and Appl. 5 (1975), 123145. MR 377894
 [Ch_{2} ] T. A. Chapman, Celllike mappings of Hilbert cube manifolds: applications to simple homotopy theory, Bull. Amer. Math. Soc. 79 (1973), 12861291. MR 48 #5083. MR 326740
 [G] R. Geoghegan, On spaces of homeomorphisms, embeddings and functions. I, Topology 11 (1972), 159177. MR 45 #4349. MR 295281
 [LM] R. Luke and W. K. Mason, The space of homeomorphisms on a compact two manifold is an absolute neighborhood retract, Trans. Amer. Math. Soc. 164 (1972), 275285. MR 46 #849. MR 301693
 [M] W. K. Mason, The space of all selfhomeomorphisms of a twocell which fix the cell's boundary is an absolute retract, Trans. Amer. Math. Soc. 161 (1971), 185205. MR 44 #3283. MR 286067
 [S] L. C. Siebenmann, Approximating cellular maps by homeomorphisms, Topology 11 (1972), 271294. MR 45 #4431. MR 295365
 [T] H. Toruńczyk, Absolute retracts as factors of normed linear spaces, Fund. Math. 86 (1974), 5367. MR 51 #1723. MR 365471
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Additional Information
DOI:
http://dx.doi.org/10.1090/S000299041976142097
PII:
S 00029904(1976)142097
