WebIntuitively, tame topology studies those subcategories of the category of topological spaces and continuous maps for which an appropriate version of the Hauptvermutung holds: any two triangulations of a tame space will be combinatorially equivalent. (The term tame space is a bit of a misnomer; it is not a topological space as such that WebOct 12, 2024 · Like the language of topoi (and unlike 'tame topology'), it is a kind of topology 'without points' - a direct approach to 'shape'. ... appropriate for dealing with finite spaces... the mathematics of infinity are just a way of approximating an understanding of finite agregates, whose structures seem too elusive or too hopelessly intricate for a ...
[1505.06455] Tame topology over definable uniform structures
WebNov 2, 2024 · More concretely, we propose a Tameness Conjecture that states that all valid effective theories are labelled by a definable parameter space and must have scalar field spaces and coupling functions that are definable using the tame geometry built from an o-minimal structure. WebSep 4, 2024 · Unfortunately, lacking an associated tame cohomology theory, sometimes ad hoc arguments have to be used in applications. It would be helpful to have a tame Grothendieck topology whose associated fundamental group is the tame fundamental group. Such a topology would provide a tame cohomology theory and, in addition, higher … the new dads army
Persistent homology and Euler integral transforms SpringerLink
WebDec 23, 2016 · By Lou van den Dries: 180 pp., £24.95 (US$39.95, LMS Members' price £18.70), isbn 0 521 59838 9 (Cambridge University Press 1998). WebTame Topology and. O. -Minimal Structures. Charles Steinhorn. Chapter. 1052 Accesses. 4 Citations. Part of the Lecture Notes in Economics and Mathematical Systems book series … WebThe book starts with an introduction and overview of the subject. Later chapters cover the monotonicity theorem, cell decomposition, and the Euler characteristic in the o-minimal … michele haddock