By Francesco Costantino

We determine a calculus for branched spines of 3-manifolds via branched Matveev-Piergallini strikes and branched bubble-moves. We in brief point out a few of its attainable functions within the research and definition of State-Sum Quantum Invariants.

Show description

Read Online or Download A calculus for branched spines of 3-manifolds PDF

Similar topology books

Fixed Point Theory for Lipschitzian-type Mappings with Applications

Lately, the mounted aspect conception of Lipschitzian-type mappings has quickly grown into an enormous box of analysis in either natural and utilized arithmetic. It has develop into probably the most crucial instruments in nonlinear practical research. This self-contained booklet offers the 1st systematic presentation of Lipschitzian-type mappings in metric and Banach areas.

Topology with Applications: Topological Spaces via Near and Far

The valuable objective of this ebook is to introduce topology and its many purposes considered inside of a framework that features a attention of compactness, completeness, continuity, filters, functionality areas, grills, clusters and bunches, hyperspace topologies, preliminary and ultimate constructions, metric areas, metrization, nets, proximal continuity, proximity areas, separation axioms, and uniform areas.

Bordism, Stable Homotopy and Adams Spectral Sequences

This publication is a compilation of lecture notes that have been ready for the graduate path ``Adams Spectral Sequences and strong Homotopy Theory'' given on the Fields Institute through the fall of 1995. the purpose of this quantity is to arrange scholars with an information of ordinary algebraic topology to review fresh advancements in reliable homotopy concept, corresponding to the nilpotence and periodicity theorems.

Continuity Theory

This e-book offers an in depth, self-contained idea of constant mappings. it truly is customarily addressed to scholars who've already studied those mappings within the atmosphere of metric areas, in addition to multidimensional differential calculus. The wanted historical past proof approximately units, metric areas and linear algebra are constructed intimately, with a view to offer a unbroken transition among scholars' prior reports and new fabric.

Extra resources for A calculus for branched spines of 3-manifolds

Sample text

2. Now assume given a prime p and an idempotent functor Ep as in (c). 3, the standard map p~ : S 1 --* S 1 of degree n is an Ev-equivalence if (n,p) = 1, and thus, for every space X, the map (pn)*: IS ~, EpX] ~ [S 1, EpX] is a bijection. This tells us that ~r~(EpX) is a p-local group and hence separable. If we assume that (b) holds, then in particular ~: X ---* EvX is nuUhomotopic, and the universal property of 77forces EpX to be contractible. This shows that ( b ) ~ ( c ) . The implication ( c ) ~ ( d ) is trivial.

This situation is typical as shown by the main result in [2]. 34 References 1. I. BOKOR, On Genus and Cancellation in Homotopy, Israel Journal of Mathematics 2. I. LLERENA,Wedge Cancellation of Certain Mapping Cones, Composi$io Mathe- (in press). matica (to appear). I. Bokor: Mathematik Berninaplatz 3 CH-8057 - Zfirieh Switzerland I. Llerena: Departament d'Algebra i Geometria Universitat de Barcelona Gran Via de les Corts Catalanes, 585 E-08007 Barcelona Spain 1990 Barcelona Conference on Algebraic Topology.

Durham Symposium on Homotopy Theory 1985, (1987), 97-116. [LS] J. LANNES AND L. SCIIWARTZ, Sur la structure des A~-modules instables injectifs, Topology 28 (1989), 153-169. [LZ1] J. LANNES AND S. ZARATI, Sur les L/-injectifs, Ann. Scient. Ec. Norm. Sup. 19 (1986), 303-333. [LZ2] 25-59. , Foncteurs d~riv~s de la d@stabilisation, Math. Z. R. MILLER, The Sullivan conjecture on maps from classifying spaces, Annal~ of Math 120 (1984), 39-87. IS] L. SCHWARTZ, La filtration nilpotente de la cat@gorie L¢ et la cohomologie des espaces de lacets, in "Algebraic Topology Rational Homotopy, Louvain 1986," Lecture Notes in Math 1318, Springer, 1988.

Download PDF sample

Rated 4.21 of 5 – based on 9 votes