Topology

Geometric and topological inference deals with the retrieval of information about a geometric object using only a finite set of possibly noisy samp...

This text organizes a range of results in chromatic homotopy theory, running a single thread through theorems in bordism and a detailed understandi...

Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as...

Over the past three decades there has been a total revolution in the classic branch of mathematics called 3-dimensional topology, namely the discov...

When scientists analyze datasets in a search for underlying phenomena, patterns or causal factors, their first step is often an automatic or semi-a...

These proceedings contain the contributions of some of the participants in the intensive research period held at the De Giorgi Research Center in P...

Volume III of the Collected Works of V.I. Arnold contains papers written in the years 1972 to 1979. The main theme emerging in Arnold's work of thi...

In general terms, a graph decomposition is a partition of a graph into parts satisfying some special conditions. Methods of Graph Decompositions di...

Mathematical No/ex, 27 Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make availa...

In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigs...

In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigs...

In differential geometry and topology one often deals with systems of partial differential equations as well as partial differential inequalities t...

In differential geometry and topology one often deals with systems of partial differential equations as well as partial differential inequalities t...

Topological Phases of Matter are an exceptionally dynamic field of research: several of the most exciting recent experimental discoveries and conce...

Alexandrov spaces are defined via axioms similar to those of the Euclid axioms but where certain equalities are replaced with inequalities. Dependi...

Alexandrov spaces are defined via axioms similar to those of the Euclid axioms but where certain equalities are replaced with inequalities. Dependi...

This volume contains the proceedings of the AMS-EMS-SMF Special Session on Recent Advances in Diffeologies and Their Applications, held from July 1...

We construct a family of Calabi-Yau metrics on C3 with properties analogous to the Taub-NUT metric on C2, and construct a family of Calabi-Yau 3-fo...

We develop a unified theory of Eulerian spaces by combining the combinatorial theory of infinite, locally finite Eulerian graphs as introduced by D...

Topology for Beginners is written for undergraduate students enrolled in a 4-year Bachelor of Science programme. The mathematical content covers a ...

With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that t...