# Publications of Bruce Hughes

`1970's`

### A metric for the product of countably many sets

*Journal of Undergraduate Mathematics* 7 (1975), 93--99

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### Irreducible continua and some characterizations of arcs

*Journal of Undergraduate Mathematics* 8 (1976), 1--10

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### Some properties of Whitney continua in the hyperspace C(X)

*Topology Proceedings* **1 **(1976), 209--219

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### Solution to advanced problem 6025

*The American Mathematical Monthly* 84 (1977), 141--142

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### Some remarks on freely decomposable mappings

*Topology Proceedings* 2 (1977), 213--217

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### On freely decomposable mappings of continua

Co-author: G. R. Gordh, Jr.

*Glasnik Matematicki* 14 (1979), 137--146

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`1980's`

### Local homotopy properties in spaces of approximate fibrations

Ph.D. Dissertation,* *University of Kentucky, 1981

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### Approximate fibrations and bundle maps on Hilbert cube manifolds

*Topology and its Applications* 15 (1983), 159--172

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### Bounded homotopy equivalences of Hilbert cube manifolds

*Transactions of the American Mathematical Society* 287 (1985), 621--643

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### Approximate fibrations on topological manifolds

*Michigan Mathematical Journal* 32 (1985), 167--183

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### Spaces of approximate fibrations on Hilbert cube manifolds

*Compositio Mathematica* 56 (1985), 131--151

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### Delooping controlled pseudo-isotopies of Hilbert cube manifolds

*Topology and its Applications* 26 (1987), 175--191

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### Controlled homotopy topological structures

*Pacific Journal of Mathematics* 133 (1988), 69--97

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### Topology with control and approximate fibrations

*Proceedings of the Guilford College Sesquicentennial Topology Conference,* 1988, Guilford College, Greensboro, N. C., 1988, 1--6

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`1990's`

### Bundle theories for topological manifolds

Co-authors: L. R. Taylor and E. B. Williams

*Transactions of the American Mathematical Society* 319 (1990), 1--65

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### Manifold approximate fibrations are approximately bundles

Co-authors: L. R. Taylor and E. B. Williams

*Forum Mathematicum *3 (1991), 309--325

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### Bounded homeomorphisms over Hadamard manifolds

Co-authors: L. R. Taylor and E. B. Williams

*Mathematica Scandinavica* 73 (1993), 161--176

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### Rigidity of fibrations over nonpositively curved manifolds

Co-authors: L. R. Taylor and E. B. Williams

*Topology* 34 (1995), 565--574

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*Ends of Complexes*

Co-author: Andrew Ranicki

Cambridge Tracts inMathematics 123, Cambridge University Press, Cambridge, 1996, xxvi+353 pages

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### Geometric topology of stratified spaces

*Electronic Research Announcements of the American Mathematical Society* 2 (1996), 73--81

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### Controlled topological equivalence of maps in the theory of stratified spaces and approximate fibrations

*Surgery and Geometric Topology (Sakado, 1996). Science Bulletin of Josai University.* Special issue no. 2 (1997) 31--50

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### Stratified path spaces and fibrations

*Proceedings of the Royal Society of Edinburgh* 129A (1999), 351--384

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### Stratifications of mapping cylinders.

*Topology and its Applications* 94 (1999), 127--145

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### Stratifications of teardrops

*Fundamenta Mathematicae* 161 (1999), 305--324

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`2000's`

*Control and relaxation over the circle*

Co-author: Stratos Prassidis

Memoirs of theAmerican Mathematical Society 145, number 691, American Mathematical Society, Providence, 2000, ix + 96 pages

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### Neighborhoods in stratified spaces with two strata

Co-authors: L. Taylor, S. Weinberger, and B. Williams

*Topology* 39 (2000), 873--919

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### Controlled homeomorphisms over nonpositively curved manifolds

Co-authors: L. Taylor and B. Williams

*Canadian Mathematical Bulletin* 43 (2000), 343--354

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### Surgery and stratified spaces

Co-author: Shmuel Weinberger

In *Surveys on Surgery Theory*, Volume 2 (eds. S. Cappell, A. Ranicki, and J. Rosenberg), Princeton Univ. Press, Princeton, 2001, pages 319--352

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### Products and adjunctions of manifold stratified spaces

*Topology and its Applications* 124 (2002), pages 47--67

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### The approximate tubular neighborhood theorem

*The Annals of Mathematics* 156 (2002), pages 867--889

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### Neighborhoods of strata in manifold stratified spaces

*Glasgow Mathematical Journal* 46 (2004), pages 1--28

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### Trees and ultrametric spaces: a categorical equivalence

*Advances in Mathematics* 189 (2004), pages 148--191

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### Examples of exotic stratifications

Co-authors: Laurence Taylor, Shmuel Weinberger, and Bruce Williams

*Geometry & Topology*, 11 (2007) 1477--1505

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### Local similarities and the Haagerup property

With an appendix by Daniel S. Farley

*Groups Geometry Dynamics*, 3 (2009) 299--315

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`2010's`

### Dihedral manifold approximate fibrations over the circle

Co-author: Qayum Khan

*Geometrae Dedicata* (to appear)

### Bounded distortion homeomorphisms of ultrametric spaces

Co-authors: Alvaro Martinez-Perez and Manuel A. Moron

*Annales Academiae Scientiarium Fennicae Mathematica* (to appear)

### Trees, ultrametrics, and noncommutative geometry

*Pure and Applied Mathematical Quarterly* (to appear)

`2020's`