Marcus M. Marsh

Publications | Education | 2025 Spring Topology & Dynamics Conference

Contact Information
Title:	Professor Emeritus
E-mail:	mmarsh@csus.edu
Mailing Address:	Department of Mathematics CSUS 6000 J Street Sacramento, CA 95819

Courses

Retired from teaching

Selected and Recent Publications

Note: Some of the papers below are post-peer-review, pre-copyedit versions of articles published in the journals indicated. Final authenticated versions are available online at the indicated DOI's, or in the indicated journals.

Products of Span Zero Continua and the Fixed Points Property, Proceedings of the American Mathematical Society 132(2003), 1849-1853
Fixed Point Theorems for Partially Outward Mappings, Topology and Its Applications 153(2006), 3546-3554 (online at http://dx.doi.org/10.1016/j.topol.2006.03.019)
Generalized Alexandroff-Urysohn Squares and a Characterization of the Fixed Point Property (with C.L. Hagopian), Topology and Its Applications 157(2010), 997-1001 (online at http://dx.doi.org/10.1016/j.topol.2009.12.015)
Inverse Limits of Projective Spaces and the Fixed Point Property, Houston Journal of Mathematics 36(2010), 945-957
Brush Spaces and the Fixed Point Property (with J.R. Prajs), Topology and Its Applications 158(2011), 1085-1089 (online at http://dx.doi.org/10.1016/j.topol.2011.03.004)
Tree-like Continua with Invariant Composants under Fixed-Point-Free Homeomorphisms (with C.L. Hagopian and J.R. Prajs), Proceedings of the American Mathematical Society 140(2012), 3655-3661
Nonconnectedness of Inverse Limit Sequences (with W.T. Ingram), Topology Proceedings 41(2013), 333-336
Some Structure Theorems for Inverse Limits with Set-Valued Functions, Topology Proceedings 42(2013), 237-258
Internally K-like Spaces and Internal Inverse Limits (with J.R. Prajs), Topology and Its Applications 164(2014), 235-241 (online at http://dx.doi.org/10.1016/j.topol.2014.01.006)
Non-additivity of the fixed point property for tree-like continua (with C.L. Hagopian), Fundamenta Mathematicae 231(2015), 113-137 (online at http://dx.doi.org/10.4064/fm231-2-2)
Internal inverse limits and retractions (with J.R. Prajs), Rocky Mountain Journal of Mathematics 45(2015), 1209-1223 (online at http://dx.doi.org/10.1216/RMJ-2015-45-4-1209)
Tree-like inverse limits on [0,1] with interval-valued functions, Topology Proceedings 48(2016), 215-232
A characterization of tree-like inverse limits on [0,1] with interval-valued functions, Topology Proceedings 50(2017), 101-109
Projections onto closed convex sets in Hilbert spaces (with A. Domokos and J.M. Ingram), Acta Math. Hungar. 152(2017), #1, 114-129 (online at http://dx.doi.org/10.1007/s10474-017-0691-9)
Projections onto cones in Banach spaces (with A. Domokos), Fixed Point Theory 19(2018), #1, 167-178 (online at http://dx.doi.org/10.24193/fpt-ro.2018.1.12)
A fixed point theorem for conical shells (with A. Domokos), J. Fixed Point Theory Appl. (2018)20:64 (online at https://doi.org/10.1007/s11784-018-0542-5)
Folders of continua (with C.L. Hagopian and J.R. Prajs), Topology Proceedings 55(2020), 13-33
Connectedness of inverse limits with functions fi where either fi or fi inverse is a union of continuum-valued functions, Topology and Its Applications 264(2019), 473-488 (online at http://dx.doi.org/10.1016/j.topol.2019.06.049)
Chainability of inverse limits on [0,1] with interval-valued functions (with W.T. Ingram), Topology Proceedings 56(2020), 305-320
Weak chainability of arc folders (with C.L. Hagopian and J.R. Prajs), Colloquium Mathematicum 163(2021), #2, 211-221 (online at https://doi.org/10.4064/cm7925-2-2020)
Some fixed point theorems for tree-like continua, Topology and Its Applications (2020)107475 (online at https://doi.org/10.1016/j.topol.2020.107475)
Compacta admitting retractions close to the identity map, Rocky Mountain Journal of Mathematics 51(2021), No. 4, 1349-1368 (online at https://doi.org/10.1216/rmj.2021.51.1349)
Interval-expressed tree-like continua with the fixed point property, Topology Proceedings 59(2022), 1-12
Unions of chainable continua with the fixed point property (with C.L. Hagopian), Bulletin of the Polish Academy of Sciences Mathematics 69(2021), \#1, 87-95 (online at https://doi.org/10.4064/ba210729-30-7)
Atriodic tree-like continua as inverse limits on [0,1] with interval-valued functions, Topology and Its Applications 308(2022), 1-12 (online at https://doi.org/10.1016/j.topol.2021.107997)
Connectedness of inverse limits with set-valued functions, Topology Proceedings 63(2024), 5-21 (online at http://topology.nipissingu.ca/tp/reprints/v63)
Conditions for chainability of inverse limits on [0,1] with interval-valued functions, Topology and Its Applications 351(2024), (online at https://doi.org/10.1016/j.topol.2024.108933)

Marcus M. Marsh

Contact Information

Courses

Selected and Recent Publications

Notes from 2013 STDC Talk

Math 108 Text

Education