Synchronous Recurrence
نویسنده
چکیده
Auslander and Furstenberg asked the following question in [1]: If (x, y) is recurrent for all uniformly recurrent points y, is x necessarily a distal point? We call such a point x weakly product recurrent. Haddad and Ott [4] answered the Auslander/Furstenberg question in the negative by identifying a class of weakly product recurrent points that are not distal; however, the points in this class are not minimal. This suggests a refinement of the Auslander/Furstenberg question: If x is minimal and weakly product recurrent, is x necessarily distal? Here we introduce a new notion of product recurrence and we show that there exist minimal points that exhibit this new type of product recurrence and yet are not distal.
منابع مشابه
Effects of Previous or Synchronous Non-Muscle Invasive Bladder Cancer on Clinical Results after Radical Nephroureterectomy for Upper Tract Urothelial Carcinoma: A Multi-Institutional Study.
PURPOSE To evaluate the effects of the presence of previous or synchronous non-muscle invasive bladder cancer (NMIBC) on the oncologic outcomes of radical nephroureterectomy in patients with upper tract urothelial carcinoma (UTUC). MATERIALS AND METHODS In total, 505 patients with UTUC were enrolled from four different institutions. The clinicopathologic parameters of patients with and witho...
متن کاملBilateral Synchronous Sporadic Renal Cell Carcinoma: Retroperitoneoscopic Strategies and Intermediate Outcomes of 60 Patients
OBJECTIVE To evaluate the presentation, management, pathology, and functional and oncological outcomes of patients undergoing retroperitoneoscopic treatment of bilateral synchronous sporadic RCC at our institution. METHODS We retrospectively evaluated the records of 60 patients with bilateral synchronous sporadic RCC who underwent retroperitoneoscopic treatment at the General Hospital of Peop...
متن کاملCirculating CD95-ligand as a potential prognostic marker for recurrence in patients with synchronous colorectal liver metastases.
AIM To assess whether circulating soluble CD95 ligand (sCD95L) levels are associated with recurrence-free survival (RFS) in patients with synchronous colorectal liver metastases. PATIENTS AND METHODS Blood samples were obtained from 62 patients with synchronous colorectal liver metastases before and after liver surgery. Serum sCD95L levels were determined using enzyme-linked immunosorbent ass...
متن کاملMinimal Representation of Uniform Recurrence Equations 1
We consider a system of uniform recurrence equations of dimension one. We show how the computation can be carried using minimal memory size with several synchronous processors. This result has applications in register minimization for digital circuitry and parallel simulation of timed event graphs.
متن کاملPredictive factors for time to recurrence, treatment and post-recurrence survival in patients with initially resected colorectal liver metastases.
BACKGROUND Despite progress in resection for colorectal liver metastases (CLM), the majority of patients experience recurrence. We aimed to evaluate factors influencing time to recurrence (TTR), treatment and post-recurrence survival (PRS) related to site of recurrence. METHODS This is a retrospective population-based cohort study (1998-2012) of consecutive patients without extrahepatic disea...
متن کامل[Treatment strategy for synchronous liver metastasis from colorectal cancer].
BACKGROUND & OBJECTIVE The patients with synchronous liver metastasis from colorectal cancer might get long-term survival after liver resection. But the optimal timing of surgery is undefined. This study was to explore the treatment strategy for synchronous liver metastasis from colorectal cancer. METHODS From 1995 to 2005, 83 patients with synchronous liver metastasis from colorectal cancer ...
متن کامل