Algebraic & Geometric Topology Volume 17, issue 4 (2017)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

A refinement of Betti numbers and homology in the presence of a continuous function, I

Dan Burghelea

Algebraic & Geometric Topology 17 (2017) 2051–2080

DOI: 10.2140/agt.2017.17.2051

Bibliography

1	B J Ball, Alternative approaches to proper shape theory, from: "Studies in topology" (editors N M Stavrakas, K R Allen), Academic Press (1975) 1 MR0380722
2	D Burghelea, T K Dey, Topological persistence for circle-valued maps, Discrete Comput. Geom. 50 (2013) 69 MR3070542
3	D Burghelea, S Haller, Topology of angle valued maps, bar codes and Jordan blocks, preprint (2013) arXiv:1303.4328
4	G Carlsson, V de Silva, D Morozov, Zigzag persistent homology and real-valued functions, from: "Proceedings of the Twenty-fifth Annual Symposium on Computational Geometry", ACM (2009) 247
5	T A Chapman, Lectures on Hilbert cube manifolds, 28, Amer. Math. Soc. (1976) MR0423357
6	R J Daverman, J J Walsh, A ghastly generalized n–manifold, Illinois J. Math. 25 (1981) 555 MR630833
7	S t Hu, Theory of retracts, Wayne State Univ. Press (1965) 234 MR0181977
8	J Milnor, On spaces having the homotopy type of a CW–complex, Trans. Amer. Math. Soc. 90 (1959) 272 MR0100267