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Coarse Geometric Coherence, Jonathan Lee Grossman
Coarse Geometric Coherence, Jonathan Lee Grossman
Legacy Theses & Dissertations (2009 - 2024)
This dissertation establishes three coarse geometric analogues of algebraic coherence: geometric coherence, coarse coherence, and relative coarse coherence. Each of these coarse geometric coherence notions is a coarse geometric invariant. Several permanence properties of these coarse invariants are demonstrated, elementary examples are computed, and the relationships that these properties have with one another and with other previously established coarse geometric invariants are investigated. Significant results include that the straight finite decomposition complexity of A. Dranishnikov and M. Zarichnyi implies coarse coherence, and that M. Gromov’s finite asymptotic dimension implies coherence, coarse coherence, and relative coarse coherence. Further, as a consequence …
Education And Women Mathematicians In The Middle East, Syeda Tooba Zahra
Education And Women Mathematicians In The Middle East, Syeda Tooba Zahra
Legacy Theses & Dissertations (2009 - 2024)
Middle Eastern women have made important contributions in the field of Mathematics. The purpose of this thesis is to understand the educational background for women in the Middle East and look at the life and contribution of a sample of women mathematicians in representative Middle Eastern countries such as Turkey, Lebanon, Iran, and Pakistan.