3 papers
math.CO2013
Characterization of hereditarily reversible posets
Michał Kukieła
A poset P is called reversible if every order preserving bijective self map of P is an order automorphism. P is called hereditarily reversible if every subposet of P is reversible.…
math.AT2011
Construction of the discrete Morse complex in the non-compact case
Michał Kukieła
We prove an infinite analogue of the main theorem of discrete Morse theory formulated in terms of discrete Morse matchings. Our theorem holds under the assumption that the given Mo…
math.AT2009
On homotopy types of Alexandroff spaces
Michał Kukieła
We generalise some results of R. E. Stong concerning finite spaces to wider subclasses of Alexandroff spaces. These include theorems on function spaces, cores and homotopy type. In…