William S. Mahavier

Publications

THE PUBLICATIONS OF BILL MAHAVIER


• Concerning cut-point spaces of order three, Int. J. Math. Math. Sci., (2007) (with Dale Daniel)

• Inverse limits of upper semi-continuous set valued functions, Houston J. Math. 3 (2006) 119–130 (with W. T. Ingram)

• Interesting dynamics and inverse limits in a family of one-dimensional maps, Amer. Math. Monthly 111 (2004), 198–215 (with W. T. Ingram)

• Inverse limits with subsets of [0, 1] ×[0, 1], Topology Appl. 141 (2004), 225–231

• Joinable continua–an application of inverse limits, Special issue in memory of B. J. Ball. Bol. Soc. Mat. Mexicana 6 (2000), 235–241

• Continua with only two topologically different subcontinua, Special issue in memory of B. J. Ball. Topology Appl. 94 (1999), 243–252

• Embeddings of simple indecomposable continua in the plane, Topology Proc. 14 (1989), 131–140

• Dimension raising subsets of mappings onto an arc, Houston J. Math. 14 (1988), 247–251

• σ-coherent continua are hereditarily locally connected, Proc. Amer. Math. Soc. 81 (1981), 129–132 (with M. R.
Hagan)

• Subcontinua of finite unions of dendrites, Topology Proc. I (1976), 311–319

• Atomic mappings on irreducible Hausdorff continua, Fund. Math. 60 (1970), 147–151

• Arcs in inverse limits on [0, 1] with only one bonding map, Proc. Amer. Math. Soc. 21 (1969),587–590

• Semigroups on chainable and circle-like continua, Math. Z. 106 (1968), 159–161 (with M. Friedberg)

• Upper semi-continuous decompositions of irreducible continua, Fund. Math. 60 (1967), 53–57

• A chainable continuum not homeomorphic to an inverse limit on [0, 1] with only one bonding map, Proc. Amer.
Math. Soc.
18 (1967), 284–286

• Rates of change and functional relations, Fund. Math. 48 (1959/60), 265–269

• A theorem on spirals in the plane . Thesis (Ph.D.). The University of Texas at Austin. ProQuest LLC, Ann Arbor, MI,  1957. 28 pp.

Also:

• Calculus: The Importance of Precise Notation, PRIMUS, 18 (2004), 349–360 (with Ted Mahavier)

• A Moore Method Calculus II Course, Journal of Inquiry Based Learning in Mathematics, 8 (2008), 33 pages

• Nearly a dozen unrefereed publications ranging from teaching articles for the Educational Advancement Foundation of Austin, TX, to various complete course notes, to technical reports from his industrial work.

Latest revision: 10 July 2012