In this invited plenary talk, presented at the conference American Mathematical Society, Southeastern Spring Sectional Meeting, within the Special Session on Geometric Topology, held at the University of Tennessee in Knoxville, USA, results of this project group on homogeneity groups of ends of open 3-manifolds were presented.

B.04 Guest lecture

COBISS.SI-ID: 16931673In this invited plenary talk, presented at the conference Discrete, Computational and Algebraic Topology, held at the University of Copenhagen, Denmark, results of this project group on discrete Morse functions on infinite complexes were presented. Among other results, the characterization was given of the discrete gradient vector fields on infinite and locally finite simplicial complexes which are induced by a proper discrete Morse function. This characterization is essentially given by the non-existence of closed trajectories and the absence of a certain kind of incidence between monotonous rays in the given field.

B.04 Guest lecture

COBISS.SI-ID: 17158233In this invited plenary talk, presented at the conference American Mathematical Society, Southeastern Spring Sectional Meeting, within the Special Session on Geometric Topology, held at the University of Tennessee in Knoxville, USA, results of this project group on contractible 3-manifolds that are the union of two Euclidean spaces.

B.04 Guest lecture

COBISS.SI-ID: 16931417