Introduction The two basic kinds of **homology** theories for algebras that are considered in non-commutative geometry are K -theory and cyclic .

(September 14,2005) Geometric **homology** versus group **homology** Paul Garrettgarrett@math.umn.eduhttp: =/www.math.umn.edu/~garrett/ The goal here is to recov era family of assertions of the form H (nX) H () where the left-hand side is singular cohomology of atopological spacen Xobtainedasa quotient ...

To appear in Biology and Philosophy 22 (5) © Springer Defining Vision: What **Homology** Thinking Contributes Mohan Matthen Institute for the History and Philosophy of Science and Technology, University of Toronto, 91 Charles St. W., Toronto ON M5S 1K7, Canada Email: mohan.matthen@utoronto.ca ...

arXiv:math.AG/0606593 v1 23 Jun 2006 GLOBAL HOCHSCHILD (CO-)**HOMOLOGY** OF SINGULAR SPACES RAGNAR-OLAF BUCHWEITZ AND HUBERT FLENNER Abstract. We introduce Hochschild (co-)**homology** of morphisms of schemes

WHA TIS... Persistent **Homology**? Shmuel Weinberger In memory of my friend, Partha Niyogi (1967-2010) Consider the art of Seuratorapieceof old newsprint.

RESEARCH PAPER International Journal of Biosciences (IJB ) ISSN: 2220-6655 (Print) Vol. 1, No. 1, p. 20-32, 2011 http://www.innspub.net **Homology** modeling and structure prediction of thioredoxin (TRX) protein in wheat ( Triticum aestivum L. ) M. Prabhavathi 1, K. Ashokkumar 2*, N. Geetha 1, K.M ...

Computing Persistent **Homology** Afra Zomorodia n †and Gunnar Carlsson ‡ (Discrete and Computational Geometry) Abstract We show that the persistent **homology** of afilteredd-dimensional simplicial complex is simply the standard homol-ogyofaparticular graded module over a polynomial ring.

A scalable parallel algorithm for large-scale protein sequence **homology** detection A Scalable Parallel Algorithm for Large-Scale Protein Sequence **Homology** Detection

THREE EXAMPLES OF APPLIED& COMPUTATIONAL **HOMOLOGY** Robert Ghrist 1 Algebraic Topology as Applied Mathe-matics? Mathematics is limitless in its dual capacity for abstraction and incarnation.

**Homology** and the Origin of Correspondence INGOBRIGANDT Department of History and Philosophy of Science University of Pittsburgh 1017 Cathedral of Learning Pittsburgh, PA 15260 USA E-mail: inb1@pitt.edu June3,2001 (revised version) Abstract.