14 edition of **Topological Invariants of Stratified Spaces** found in the catalog.

- 328 Want to read
- 29 Currently reading

Published
**January 2007** by Springer .

Written in English

- Calculus & mathematical analysis,
- Category theory,
- Differential & Riemannian geometry,
- Mathematics,
- Science/Mathematics,
- Geometry - General,
- Topology - General,
- Characteristic Classes,
- Intersection Homology,
- Mathematics / Topology,
- Self-dual Sheaves,
- Singularities,
- Stratified Spaces,
- Invariants,
- Topological manifolds,
- Topological spaces

**Edition Notes**

Springer Monographs in Mathematics

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 270 |

ID Numbers | |

Open Library | OL9056840M |

ISBN 10 | 3540385851 |

ISBN 10 | 9783540385851 |

Halperin and J. Boundary and interior[ edit ] Let M be a manifold with boundary. But a nice book otherwise. I will introduce norm maps and show how they relate to G-trees. In order to extend these ideas to other settings, such as modules over non-commutative rings, we must further generalize the trace to a bicategory equipped with additional structure called a shadow. Bott, Raoul; Tu, Loring W.

Mycielski Unlike an ordinary atlas, the maximal atlas of a given manifold is unique. MN Dugundji, James. North-Holland, An introduction to the point-set and algebraic areas.

Reviewer: E. C Livingston. On Thom Spectra, Orientability, and Cobordism. Chapitre 1: Structures topologiques. Main article: Coordinate chart A coordinate map, a coordinate chart, or simply a chart, of a manifold is an invertible map between a subset of the manifold and a simple space such that both the map and its inverse preserve the desired structure.

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North-Holland Mathematical Library, Reprint of the original. Topological view point.

These transformations eventually reduce the planar graph to a single triangle. I will introduce norm maps and show how they relate to G-trees. Introductory Books. September 19 Nat Stapleton An invitation to Morava's extraordinary E-theories I will introduce the Morava E-theories, which are cohomology theories that have close connections to number theory, representation theory, and geometry.

American Mathematical Society There are many related invariants that refine the Reidemeister trace and have different strengths and weaknesses in regards to computability and realizability. One of the few textbook sources for the slowly emerging and potentially very important topic of elliptic cohomology.

MN -- A pleasure to read.

After this deformation, the regular faces are generally not regular anymore. The resultant map, like the map T in the circle example above, is called a change of coordinates, a coordinate transformation, a transition function, or a transition map. N Steenrod. You can think carefully about it and determine all the smoothing of the corners does not kill the proof but I know many strong mathematicians that were hesitant to accept Smale's proof, insisting that it was only a PL-category proof.

Combinatorial topology. Invariants for Homology 3-Spheres. With a foreword by Haynes Miller. Uniform spaces. Maxim, Mathematical Reviews, Issue j "In the book, the construction of these invariants for stratified singular spaces is presented, as well as some methods for their computation.

Accessible to students familiar with the fundamentals of algebraic topology. It is clearly written, has many good examples and illustrations, and, as befits a graduate-level text, exercises.

Cambridge University Press, Contens: Part one Topology at infinity 1 1 End spaces 1 2 Limits 13 3 Homology at infinity 29 4 Cellular homology 43 5 Homology of covers 56 6 Pro jective class and torsion 65 7 Forward.

Actually, there is an active theory of algebraic topology for "pathological" spaces that has come a long way in the past two decades: Wild (algebraic/geometric) atlasbowling.com fact, this has become a small field in its own right with a lot of recent momentum.

Descriptions of fundamental groups do become more complicated because in a wild space there may be shrinking sequences of non-trivial loops. These stratified spaces have attracted interest from researchers in recent years, and examples of data lying in stratified spaces include trees,graphs, point sets such as persistence diagrams, objects invariant to a nontrivial group action (lying in a group quotient space), and positive semidefinite matricesAuthor: Aasa Feragen, Tom Nye.

May 04, · This book presents a geometric introduction to the homology of topological spaces and the cohomology of smooth manifolds.

The author introduces a new class of stratified spaces, so-called stratifolds. He derives basic concepts from differential topology such as Sard's theorem, partitions of unity and transversality. The Mathematical Sciences Research Institute (MSRI), founded inis an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions.

The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to Grizzly Peak, on the. Highlights include complete and detailed proofs of decomposition theorems for self-dual sheaves, explanation of methods for computing twisted characteristic classes and an introduction to the author’s theory of non-Witt spaces and Lagrangian structures.

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