The Net Advance of Physics:
TOPOLOGY
:
TOPOLOGY: (under construction)
General:
Set theory and topology. An introduction to the foundations of analysis. Part I: Sets, relations, numbers
by Felix Nagel [2013/06] 152 pp.
Topologies and all that -- A Tutorial
by Ernst-Erich Doberkat [2015/03]
Use of topology in physical problems
by Somendra M. Bhattacharjee [2015/12]
Type: ALGEBRAIC:
Algebraic Topology
by Vanessa Robins [2013/04]
Signatures [of quadratic forms] in algebra, topology and dynamics
by Etienne Ghys and Andrew Ranicki [
Ensaios Matematicos 30
, 1 (2016)] 173 pp.
Persistent topology for natural data analysis: a survey
by Massimo Ferri [2017/06]
A Brief History of Persistence
by Jose A. Perea [2018/09] Persistent homology.
Goodwillie Calculus
by Gregory Arone and Michael Ching [2019/02]
Type: COMPUTATIONAL:
Persistent topology for natural data analysis: a survey
by Massimo Ferri [2017/06]
Computational and Applied Topology Tutorial
by Paweł Dłotko [2018/07]
Type: GEOMETRIC:
An Introduction to Geometric Topology
by Bruno Martelli [2016/10] 482 pp.
An invitation to higher Teichmüller theory
by Anna Wienhard [2018/03]
Type: NON-COMMUTATIVE:
A Case Study in Non-Commutative Topology [irrational rotation C* algebra]
by Claude L. Schochet [2017/11]
Type: STATISTICAL/STOCHASTIC:
Concepts of polymer statistical topology
by S. K. Nekchaev [2015]
Random simplicial complexes
by Matthew Kahle [2016/07]
Aspects: FIXED POINTS:
Reflections in a cup of coffee [Brouwer's Fixed Point Theorem]
by Raf Bocklandt [2016/12]
Aspects: POINCARE-HOPF THEOREM:
O Teorema de Poincare-Hopf
by Jean-Paul Brasselet and Nguyen Thi Bich Thuy [2017/10]
ArXiv to
THE NET ADVANCE OF PHYSICS