Homotopy properties of decomposition spaces
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- Trans. Amer. Math. Soc. 143 (1969), 499-507 Request permission
References
- Steve Armentrout, Upper semi-continuous decompositions of $E^{3}$ with at most countably many non-degenerate elements, Ann. of Math. (2) 78 (1963), 605โ618. MR 156331, DOI 10.2307/1970546
- Steve Armentrout, Cellular decompositions of $3$-manifolds that yield $3$-manifolds, Bull. Amer. Math. Soc. 75 (1969), 453โ456. MR 239578, DOI 10.1090/S0002-9904-1969-12218-4
- Steve Armentrout, $\textrm {UV}$ properties of compact sets, Trans. Amer. Math. Soc. 143 (1969), 487โ498. MR 273573, DOI 10.1090/S0002-9947-1969-0273573-7
- Steve Armentrout and Thomas M. Price, Decompositions into compact sets with $UV$ properties, Trans. Amer. Math. Soc. 141 (1969), 433โ442. MR 244994, DOI 10.1090/S0002-9947-1969-0244994-3
- R. H. Bing, A surface is tame if its complement is $1$-ULC, Trans. Amer. Math. Soc. 101 (1961), 294โ305. MR 131265, DOI 10.1090/S0002-9947-1961-0131265-1
- Karol Borsuk, Theory of retracts, Monografie Matematyczne, Tom 44, Paลstwowe Wydawnictwo Naukowe, Warsaw, 1967. MR 0216473
- V. P. Kompaniec and A. V. ฤernavskiฤญ, Equivalence of two classes of sphere mappings, Soviet Math. Dokl. 7 (1966), 1083โ1085. MR 0240788
- E. H. Connell, A topological $H$-cobordism theorem for $n\geq 5$, Illinois J. Math. 11 (1967), 300โ309. MR 212808
- D. M. Hyman, $\textrm {ANR}$ divisors and absolute neighborhood contractability, Fund. Math. 62 (1968), 61โ73. MR 229197, DOI 10.4064/fm-62-1-61-73
- R. C. Lacher, Cell-like mappings of $\textrm {ANR}โs$, Bull. Amer. Math. Soc. 74 (1968), 933โ935. MR 244963, DOI 10.1090/S0002-9904-1968-12093-2
- Joseph Martin, The sum of two crumpled cubes, Michigan Math. J. 13 (1966), 147โ151. MR 190914
- D. R. McMillan Jr., A criterion for cellularity in a manifold, Ann. of Math. (2) 79 (1964), 327โ337. MR 161320, DOI 10.2307/1970548
- T. M. Price, A necessary condition that a cellular upper semi-continuous decomposition of $E^{n}$ yield $E^{n}$, Trans. Amer. Math. Soc. 122 (1966), 427โ435. MR 193627, DOI 10.1090/S0002-9947-1966-0193627-0
- Stephen Smale, A Vietoris mapping theorem for homotopy, Proc. Amer. Math. Soc. 8 (1957), 604โ610. MR 87106, DOI 10.1090/S0002-9939-1957-0087106-9 J. H. C. Whitehead, On the homotopy type of ANRโs, Bull. Amer. Math. Soc. 55 (1949), 453-496.
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 143 (1969), 499-507
- MSC: Primary 54.55; Secondary 55.00
- DOI: https://doi.org/10.1090/S0002-9947-1969-0273574-9
- MathSciNet review: 0273574