![]() ![]() ![]() Shows, these spaces are topologically very near to each other. The set of end points in the Lelek fan, the set of end-points in an R-tree.Īs the research performed by K. The space of irrational sequences in the Hilbert space l 2, Spaces such as the space of autohomeomorphisms of the Menger continua M n,k, Please change the address inħ, 15, and 16, all on homogeneous continua, were added.Ģ002 Problem 33 and an essay by J. You can see we have moved to a different account. Problems 20, 21 and remarks by Jo Heath has been added.Ģ004 Problem 9 was solved in the negative by W. Illanes and Hugo Villanueva, and independently by Mirosław Sobolewski.Ģ004, Problem 22 was positively solved by Francis Jordan. On the List October 16, 2006, Problem 33 was positively solved by Alejandro Or you believe that some problem should be added to the list, please contact If you have some important information about any particular problem Welcome all comments and suggestions from the reader to help in preparing this Preparing such a site is never complete and should be updated continuously. ![]() How far we are successful in this effort. Nevertheless, the listīelow is intended to also include preferences of others. Other specialists would choose different selections. Important ones) according to editor's opinion. Present the problems in the selection and ordering (starting with the most With some basic information necessary to start working on those problems. Site so that everyone interested, especially beginners, can find them together Therefore we have decided to present this web We think that it would be useful to find a place where they could beĬontinuously exposed and updated. We consider those problems very interesting and important. Naturally and simply formulated problems in continuum theory still remain open.ĭue to those problems continuum theory remains remarkably fresh among otherĪreas of topology. Now, when basic general topology is already established, many deep but Its identity is rather defined by special type of questions asked in this area. "theory" separated from other areas of topology and mathematics, and Topologists were particularly interested in properties of compact connected When foundations of general topology had been established, many famous In the first half of the twentieth century, ![]()
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