The home page of
Gerard A. Venema 
Professor of Mathematics at Calvin College
Associate Secretary of the Mathematical Association of America 
List of Publications
Journal Articles

Embeddings of compacta with shape dimension in the trivial range,
Proceedings of the American Mathematical Society, vol. 55 (1976), pages 443  448 [MR53 #1596].

Weak flatness for shape classes of spherelike continua,
General Topology and its Applications,
vol. 7 (1977), pages 309  319 [MR56 #9535 ].

A topological disk in a 4manifold can be approximated by piecewise linear disks, Bulletin of the American Mathematical Society,
vol. 83 (1977), pages 386  387 [MR55 #4192].

Approximating disks in 4space,
Michigan Mathematical Journal,
vol. 25 (1978), pages 19  26.

A topological embedding which cannot be approximated by piecewise linear embeddings, Notices American Mathematical Society,
vol. 24 (1977), page A302 (with W. T. Eaton and C. P. Pixley).

A weakflattening criterion for compacta in 4space,
in Geometric Topology, ed. by J. C. Cantrell, Academic Press, New York, 1979 (with T. B. Rushing) [MR#80h:57022].

Neighborhoods of compacta in Euclidean space, Fundamenta Mathematicae, vol. 109 (1980), pages 71  78 [MR#382d:57006].

Failure of the Dehn Lemma on contractible 4manifolds,
Inventiones mathematicae, vol. 51 (1979), pages 205  218 (with Y. Matsumoto) [MR#80k:57013].

The fundamental dimension of embedding, in Proceedings of the International Conference on Geometric Topology, Polish Scientific Publishers, Warsaw, 1980.

An approximation theorem in shape theory, Topology and its Applications, vol. 14 (1982), pages 111  116 [MR#83h:55018].

Approximating topological surfaces in 4manifolds,
Transactions of the American Mathematical Society, vol. 265 (1981), pages 35  45 [MR#82i:57022].

Complement theorems beyond the trivial range,
Illinois Journal of Mathematics,
vol. 25 (1981), pages 209  220 (with I. Ivanšić and R. B. Sher) [MR#82i:57017].

The Whitney trick in dimension four,
Russian Mathematical Surveys, vol. 35 (1980), pages 193  195
[also translated into Russian and published in Uspekhi Matematicheskikh Nauk, Tom 35 (1980), pages 157  158] [MR#82d:57009].

Embeddings in shape theory, in Shape Theory and Geometric Topology, ed. by S. Mardešić and J. Segal, SpringerVerlag, New York, 1981 [MR#83a:57019].

Approximating topological embeddings of cells in codimension two,
Pacific Journal of Mathematics,
vol. 126 (1987), pages 165  195 [MR#88g:57027].

Homotopy equivalences on 3manifolds,
Proceedings of the American Mathematical Society,
vol. 91 (1984), pages 637  642 [MR#85m:57010].

Stable shape concordance implies homeomorphic complements,
Fundamenta Mathematicae, vol. 126 (1986), pages 123 131 (with Vo Thanh Liem) [MR#87h:57021].

Embeddings of locally connected compacta,
Transactions of the American Mathematical Society,
vol. 292 (1985), pages 613  627 [MR#87i:57018].

CE equivalence and shape equivalence of 1dimensional compacta, Topology and its Applications, vol. 26 (1987), pages 131  142 (with R. J. Daverman) [MR#89b:57012].

CE equivalences in the locally connected category,
Journal of the London Mathematical Society,
ser. (2) vol. 35 (1987), pages 169  176 (with R. J. Daverman) [MR#88a:55011].

Finite dimensional complement theorems: examples and results, Proceedings of the American Mathematical Society, vol. 103 (1988), pages 299  306 (with R. B. Sher) [MR#89f:57027].

Neighborhoods of compacta in 4manifolds,
Topology and its Applications,
vol. 31, (1989), pages 83  99 [MR#90a:57023].

A new proof of the trivial range complement theorem, preprint, 1988.

Concordance of compacta, Compositio Mathematica,
vol. 75 (1990), pages 193  201 (with Vo Thanh Liem) [MR# 91g:57018].

Neighborhoods of S^{1}like continua in 4manifolds,
Michigan Mathematical Journal,
vol. 40 (1993), pages 3  25 (with Fredric Ancel and Vo Thanh Liem) [MR#95c:57035].

Characterization of knot complements in the 4sphere,
Topology and its Applications, vol. 42 (1991) pages 231  245 (with Vo Thanh Liem) [MR#92k:57045].

Characterization of knot complements in the 4sphere: a special case, Proceedings of the Sixth Annual Workshop in Geometric Topology, pages 65  68 (with Vo Thanh Liem).

Complements of 2spheres in 4manifolds (with Vo Thanh Liem), in Topology Hawaii,
World Scientific Publishing Co., Singapore (1992), pages 157  164 [MR#93h:57033].

On the asphericity of knot complements (with Vo Thanh Liem), Canadian Journal of Mathematics, vol. 45 (1993), pages 340  356 [MR#93m:57027].

Celllike images and UV^{m} groups, Topology and its Applications, vol. 50 (1993), pages 35  46 [MR#94c:55019].

Duality on noncompact manifolds and complements of topological knots, Proceedings of the American Mathematical Society, vol. 123 (1995), pages 3251  3262 [MR#96b:57012].

Characterization of knot complements in the nsphere, Fundamenta Mathematicae, vol. 147 (1995), pages 189  196. (with Vo Thanh Liem) [MR#96g:57028].

Local homotopy properties of topological embeddings in codimension two, in Topology of Manifolds, edited by Will Kazez, Studies in Advanced Mathematics, vol. 2, published by the American Mathematical Society and International Press, 1996, pages 388  405 [MR#98d:57036].

Homotopy groups of complements of topological knots, Proceedings of the 1993 Workshop in Geometric Topology, pages 68  70.

A manifold that does not contain a compact core, Topology and its Applications, vol. 90 (1998), pages 197  210 [MR#99k:57046].

A homotopy equivalence that is not homotopic to a topological embedding, (with Vo Thanh Liem and Yukio Matsumoto) Topology and its Applications, vol. 90 (1998), pages 211  222 [MR#99m:57019].

A 4dimensional shrinking theorem,
(with M. Bestvina, R. J. Daverman, and J. Walsh), Topology and its Applications, vol. 110 (2001), pages 3  20.

Representing homology classes of 4manifolds (with Vo Thanh Liem), Topology and its Applications, vol. 120 (2002), pages 57  65.

The mathematics of T. Benny Rushing, Topology and its Applications, vol. 120 (2002), pages 1  7.

Classifying polygonal chains of six segments
(with Tom Clark), Journal of Knot Theory and its Ramifications, vol. 13 (2004), pages 479  514.

Constructing PL 2sphere complements (with Jon Dent and John Engbers), to appear in the
Proceedings of the 22nd Annual Workshop in Geometric Topology, Colorado College, June, 2005.
Other Publications

Weak Flatness for Shape Classes,
Doctoral Dissertation, University of Utah, Salt Lake City, Utah, 1975.

The Foundations of Geometry, a textbook for an undergraduate course in axiomatic geometry.
Published by Prentice Hall, Upper Saddle River, NJ, 2005, 452 pages.

The Foundations of Geometry, Second Edition. Published by Pearson Education, Inc., Boston, MA,
2012.

Proceedings of the 19th Annual Workshop in Geometric Topology. I served as editor for these informally published proceedings; a printed copy of the volume may be obtained by contacting me (venema@calvin.edu). The complete proceedings may be downloaded as a sequence of pdf documents by clicking here.

Embeddings in Manifolds, a book being written with Robert J. Daverman.
The book will be published by the American Mathematical Society in the Graduate Studies in
Mathematics series.
 Exploring Advanced Euclidean Geometry with GeoGebra.
Published by the Mathematical Association of Americia, Washington DC, 2013.
An inquirybased introduction to advanced Euclidean geometry that utilizes the open source software package GeoGebra.
The book can be used either as a computer laboratory manual to supplement an undergraduate course in geometry or
as a standalone introduction to advanced topics in Euclidean geometry.
Student Publications

Knots in Four
Dimensions and the Fundamental Group, by Jeff Boersema and Erica Whitaker,
Rose Hulman Undergraduate Mathematics Journal, vol. 4, Issue 2, 2003.

Classifying polygonal chains of six segments by Tom Clark and Gerard Venema, Journal of Knot Theory and its Ramifications, vol. 13 (2004), pages 479  514.

Classifying polygonal chains of six segments by Tom Clark and Gerard Venema,
Undergraduate Research Highlights, Council on Undergraduate Research Quarterly, vol. 25, September, 2004, page 8.

New models for hyperbolic geometry, by Tom Clark, Senior Thesis, Calvin College, 2004.

4manifolds, Kirby calculus, and the construction of knotted 2spheres in 4space, by
Jonathan Dent and John Engbers, to be submitted for publication in the Rose Hulman
Undergraduate Mathematics Journal.
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