Algebraic & Geometric Topology Volume 17, issue 1 (2017)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

Simplicial complexes with lattice structures

George M Bergman

Algebraic & Geometric Topology 17 (2017) 439–486

DOI: 10.2140/agt.2017.17.439

Bibliography

1	P Alexandroff, Diskrete Räume, Mat. Sbornik N.S. 2 (1937) 501
2	L W Anderson, On the distributivity and simple connectivity of plane topological lattices, Trans. Amer. Math. Soc. 91 (1959) 102 MR0102575
3	K A Baker, A R Stralka, Compact, distributive lattices of finite breadth, Pacific J. Math. 34 (1970) 311 MR0282895
4	G M Bergman, Direct limits and fixed point sets, J. Algebra 292 (2005) 592 MR2172170
5	G M Bergman, An invitation to general algebra and universal constructions, Springer (2015) MR3309721
6	T H Choe, The breadth and dimension of a topological lattice, Proc. Amer. Math. Soc. 23 (1969) 82 MR0248760
7	E Dyer, A Shields, Connectivity of topological lattices, Pacific J. Math. 9 (1959) 443 MR0105464
8	D E Edmondson, A nonmodular compact connected topological lattice, Proc. Amer. Math. Soc. 7 (1956) 1157 MR0081883
9	S Eilenberg, N Steenrod, Foundations of algebraic topology, Princeton University Press (1952) MR0050886
10	J Folkman, The homology groups of a lattice, J. Math. Mech. 15 (1966) 631 MR0188116
11	E Fried, G Grätzer, Pasting infinite lattices, J. Austral. Math. Soc. Ser. A 47 (1989) 1 MR998875
12	E Fried, G Grätzer, E T Schimidt, Multipasting of lattices, Algebra Universalis 30 (1993) 241 MR1223632
13	G Gierz, A R Stralka, Modular lattices on the 3–cell are distributive, Algebra Universalis 26 (1989) 1 MR981421
14	G Grätzer, Lattice theory: foundation, Springer (2011) MR2768581
15	G Grätzer, F Wehrung, A survey of tensor products and related constructions in two lectures, Algebra Universalis 45 (2001) 117 MR1810542
16	F Harary, Graph theory, Addison-Wesley (1969) MR0256911
17	S Mac Lane, Categories for the working mathematician, 5, Springer (1998) MR1712872
18	J J Rotman, An introduction to algebraic topology, 119, Springer (1988) MR957919
19	W Taylor, Varieties obeying homotopy laws, Canad. J. Math. 29 (1977) 498 MR0434928
20	W Taylor, Possible classification of finite-dimensional compact Hausdorff topological algebras, preprint (2015)
21	M L Wachs, Poset topology: tools and applications, from: "Geometric combinatorics" (editors E Miller, V Reiner, B Sturmfels), IAS/Park City Math. Ser. 13, Amer. Math. Soc. (2007) 497 MR2383132
22	J W Walker, Canonical homeomorphisms of posets, European J. Combin. 9 (1988) 97 MR939858
23	A D Wallace, The structure of topological semigroups, Bull. Amer. Math. Soc. 61 (1955) 95 MR0067907
24	Wikipedia, Galois connection, electronic reference (2002)
25	Wikipedia, Book embedding, electronic reference (2006)