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- Big interval (1)
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Articles 1 - 6 of 6
Full-Text Articles in Physical Sciences and Mathematics
Finite Topological Spaces, Jimmy Edward Miller
Finite Topological Spaces, Jimmy Edward Miller
Masters Theses
A thesis on some fundamental aspects of Algebraic Topology on Finite Topological Spaces, specifically 4 point spaces.
A Study Of Poisson And Related Processes With Applications, Phillip Mingola
A Study Of Poisson And Related Processes With Applications, Phillip Mingola
Chancellor’s Honors Program Projects
No abstract provided.
A Fundamental Theorem Of Multivariable Calculus, Joseph D. Daws Jr.
A Fundamental Theorem Of Multivariable Calculus, Joseph D. Daws Jr.
Chancellor’s Honors Program Projects
No abstract provided.
Multiplicative Sets Of Atoms, Ashley Nicole Rand
Multiplicative Sets Of Atoms, Ashley Nicole Rand
Doctoral Dissertations
It is possible for an element to have both an atom factorization and a factorization that will always contain a reducible element. This leads us to consider the multiplicatively closed set generated by the atoms and units of an integral domain. We start by showing that for a nice subset S of the atoms of R, there exists an integral domain containing R with set of atoms S. A multiplicatively closed set is saturated if the factors of each element in the set are also elements in the set. Considering polynomial and power series subrings, we find necessary and sufficient …
Big Homotopy Theory, Keith Gordon Penrod
Big Homotopy Theory, Keith Gordon Penrod
Doctoral Dissertations
Cannon and Conner developed the theory of "big fundamental groups." This is meant to expand on the notion of fundamental group and is a powerful tool that can be used for distinguishing spaces that are not distinguishable using the fundamental group. Turner proved several classical results, such as covering theory and Seifert-VanKampen for big fundamental groups. The purpose of this paper is to expand on the the theory, to refine the definitions, and to give more examples. Also, in this paper, we define big higher homotopy groups analogous to the way classical higher homotopy groups are defined.
A Southern Hemisphere Origin For Campanulid Angiosperms, With Traces Of The Break-Up Of Gondwana, Jeremy M. Beaulieu, David C. Tank, Michael J. Donoghue
A Southern Hemisphere Origin For Campanulid Angiosperms, With Traces Of The Break-Up Of Gondwana, Jeremy M. Beaulieu, David C. Tank, Michael J. Donoghue
Faculty Publications and Other Works -- Mathematics
Background
New powerful biogeographic methods have focused attention on long-standing hypotheses regarding the influence of the break-up of Gondwana on the biogeography of Southern Hemisphere plant groups. Studies to date have often concluded that these groups are too young to have been influenced by these ancient continental movements. Here we examine a much larger and older angiosperm clade, the Campanulidae, and infer its biogeographic history by combining Bayesian divergence time information with a likelihood-based biogeographic model focused on the Gondwanan landmasses.
Results
Our analyses imply that campanulids likely originated in the middle Albian (~105 Ma), and that a substantial portion …